155657425996800 has 3168 divisors, whose sum is σ = 707215979724800. Its totient is φ = 32501042380800.

The previous prime is 155657425996799. The next prime is 155657425996861. The reversal of 155657425996800 is 8699524756551.

155657425996800 is a `hidden beast` number, since 1 + 5 + 5 + 6 + 57 + 425 + 99 + 68 + 0 + 0 = 666.

It is a super-2 number, since 2×155657425996800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 105817420065 + ... + 105817421535.

Almost surely, 2^{155657425996800} is an apocalyptic number.

155657425996800 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 155657425996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353607989862400).

155657425996800 is an abundant number, since it is smaller than the sum of its proper divisors (551558553728000).

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

155657425996800 is a wasteful number, since it uses less digits than its factorization.

155657425996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 816480000, while the sum is 72.

The spelling of 155657425996800 in words is "one hundred fifty-five trillion, six hundred fifty-seven billion, four hundred twenty-five million, nine hundred ninety-six thousand, eight hundred".