872415803750400 has 8064 divisors, whose sum is σ = 4380443139945600. Its totient is φ = 166947559833600.

The previous prime is 872415803750389. The next prime is 872415803750411. The reversal of 872415803750400 is 4057308514278.

872415803750400 is a `hidden beast` number, since 8 + 7 + 2 + 4 + 1 + 580 + 3 + 7 + 50 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (872415803750389) and next prime (872415803750411).

It is a tau number, because it is divible by the number of its divisors (8064).

It is a super-2 number, since 2×872415803750400² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 1674502502140 + ... + 1674502502660.

It is an arithmetic number, because the mean of its divisors is an integer number (543209714775).

Almost surely, 2^{872415803750400} is an apocalyptic number.

872415803750400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872415803750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190221569972800).

872415803750400 is an abundant number, since it is smaller than the sum of its proper divisors (3508027336195200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

872415803750400 is a wasteful number, since it uses less digits than its factorization.

872415803750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 872415803750400 in words is "eight hundred seventy-two trillion, four hundred fifteen billion, eight hundred three million, seven hundred fifty thousand, four hundred".