153255925516800 has 720 divisors, whose sum is σ = 529018719831360. Its totient is φ = 39104697139200.

The previous prime is 153255925516789. The next prime is 153255925516819. The reversal of 153255925516800 is 8615529552351.

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, 3284290269 + ... + 3284336931.

It is an arithmetic number, because the mean of its divisors is an integer number (734748221988).

Almost surely, 2^{153255925516800} is an apocalyptic number.

153255925516800 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 153255925516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264509359915680).

153255925516800 is an abundant number, since it is smaller than the sum of its proper divisors (375762794314560).

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

153255925516800 is an equidigital number, since it uses as much as digits as its factorization.

153255925516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46845 (or 46793 counting only the distinct ones).

The product of its (nonzero) digits is 16200000, while the sum is 57.

The spelling of 153255925516800 in words is "one hundred fifty-three trillion, two hundred fifty-five billion, nine hundred twenty-five million, five hundred sixteen thousand, eight hundred".