155807906400 has 432 divisors, whose sum is σ = 594555945984. Its totient is φ = 39741166080.

The previous prime is 155807906393. The next prime is 155807906411. The reversal of 155807906400 is 4609708551.

155807906400 is a `hidden beast` number, since 1 + 5 + 580 + 7 + 9 + 0 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×155807906400² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4453777 + ... + 4488623.

It is an arithmetic number, because the mean of its divisors is an integer number (1376286912).

Almost surely, 2^155807906400 is an apocalyptic number.

155807906400 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 155807906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297277972992).

155807906400 is an abundant number, since it is smaller than the sum of its proper divisors (438748039584).

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

155807906400 is a wasteful number, since it uses less digits than its factorization.

155807906400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34905 (or 34880 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 155807906400 in words is "one hundred fifty-five billion, eight hundred seven million, nine hundred six thousand, four hundred".