153031900250880 has 864 divisors, whose sum is σ = 664960182566400. Its totient is φ = 33137727823872.

The previous prime is 153031900250857. The next prime is 153031900250897. The reversal of 153031900250880 is 88052009130351.

153031900250880 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 319 + 0 + 0 + 250 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29797269 + ... + 34553451.

Almost surely, 2^{153031900250880} is an apocalyptic number.

153031900250880 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 153031900250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332480091283200).

153031900250880 is an abundant number, since it is smaller than the sum of its proper divisors (511928282315520).

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

153031900250880 is a wasteful number, since it uses less digits than its factorization.

153031900250880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4756246 (or 4756219 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 153031900250880 in words is "one hundred fifty-three trillion, thirty-one billion, nine hundred million, two hundred fifty thousand, eight hundred eighty".