155961590400 has 2304 divisors, whose sum is σ = 770824771200. Its totient is φ = 30346444800.

The previous prime is 155961590387. The next prime is 155961590437. The reversal of 155961590400 is 4095169551.

It is a happy number.

155961590400 is a `hidden beast` number, since 1 + 5 + 5 + 96 + 159 + 0 + 400 = 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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 791683102 + ... + 791683298.

Almost surely, 2^155961590400 is an apocalyptic number.

155961590400 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 155961590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385412385600).

155961590400 is an abundant number, since it is smaller than the sum of its proper divisors (614863180800).

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

155961590400 is a wasteful number, since it uses less digits than its factorization.

155961590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 45.

The spelling of 155961590400 in words is "one hundred fifty-five billion, nine hundred sixty-one million, five hundred ninety thousand, four hundred".