152959572480 has 1280 divisors, whose sum is σ = 609800970240. Its totient is φ = 32204390400.

The previous prime is 152959572461. The next prime is 152959572503. The reversal of 152959572480 is 84275959251.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a self number, because there is not a number n which added to its sum of digits gives 152959572480.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1936197081 + ... + 1936197159.

It is an arithmetic number, because the mean of its divisors is an integer number (476407008).

Almost surely, 2^152959572480 is an apocalyptic number.

152959572480 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 152959572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304900485120).

152959572480 is an abundant number, since it is smaller than the sum of its proper divisors (456841397760).

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

152959572480 is a wasteful number, since it uses less digits than its factorization.

152959572480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 57.

The spelling of 152959572480 in words is "one hundred fifty-two billion, nine hundred fifty-nine million, five hundred seventy-two thousand, four hundred eighty".