84887111462400 has 1680 divisors, whose sum is σ = 340428242135520. Its totient is φ = 20843362713600.

The previous prime is 84887111462369. The next prime is 84887111462411. The reversal of 84887111462400 is 426411178848.

84887111462400 is a `hidden beast` number, since 8 + 4 + 8 + 8 + 7 + 1 + 1 + 1 + 4 + 624 + 0 + 0 = 666.

It is a super-2 number, since 2×84887111462400² (a number of 29 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 polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 76543833046 + ... + 76543834154.

It is an arithmetic number, because the mean of its divisors is an integer number (202635858414).

Almost surely, 2^{84887111462400} is an apocalyptic number.

84887111462400 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 84887111462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170214121067760).

84887111462400 is an abundant number, since it is smaller than the sum of its proper divisors (255541130673120).

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

84887111462400 is a wasteful number, since it uses less digits than its factorization.

84887111462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 84887111462400 in words is "eighty-four trillion, eight hundred eighty-seven billion, one hundred eleven million, four hundred sixty-two thousand, four hundred".