152956097280 has 504 divisors, whose sum is σ = 627815597472. Its totient is φ = 34959900672.

The previous prime is 152956097267. The next prime is 152956097317. The reversal of 152956097280 is 82790659251.

152956097280 is a `hidden beast` number, since 1 + 5 + 2 + 9 + 5 + 609 + 7 + 28 + 0 = 666.

152956097280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6520132 + ... + 6543548.

It is an arithmetic number, because the mean of its divisors is an integer number (1245665868).

Almost surely, 2^152956097280 is an apocalyptic number.

152956097280 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 152956097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313907798736).

152956097280 is an abundant number, since it is smaller than the sum of its proper divisors (474859500192).

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

152956097280 is an frugal number, since it uses more digits than its factorization.

152956097280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23463 (or 23434 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 152956097280 in words is "one hundred fifty-two billion, nine hundred fifty-six million, ninety-seven thousand, two hundred eighty".