15820427750400 has 3168 divisors, whose sum is σ = 74239938339840. Its totient is φ = 3127506370560.

The previous prime is 15820427750363. The next prime is 15820427750429. The reversal of 15820427750400 is 405772402851.

15820427750400 is a `hidden beast` number, since 1 + 58 + 20 + 4 + 2 + 77 + 504 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25558041291 + ... + 25558041909.

Almost surely, 2^{15820427750400} is an apocalyptic number.

15820427750400 is a gapful number since it is divisible by the number (10) 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 15820427750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37119969169920).

15820427750400 is an abundant number, since it is smaller than the sum of its proper divisors (58419510589440).

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

15820427750400 is a wasteful number, since it uses less digits than its factorization.

15820427750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 15820427750400 in words is "fifteen trillion, eight hundred twenty billion, four hundred twenty-seven million, seven hundred fifty thousand, four hundred".