152515968353280 has 5632 divisors, whose sum is σ = 708323573760000. Its totient is φ = 30971581562880.

The previous prime is 152515968353219. The next prime is 152515968353393. The reversal of 152515968353280 is 82353869515251.

152515968353280 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 1 + 5 + 96 + 8 + 3 + 532 + 8 + 0 = 666.

It is a super-2 number, since 2×152515968353280² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1200913136577 + ... + 1200913136703.

It is an arithmetic number, because the mean of its divisors is an integer number (125767680000).

Almost surely, 2^{152515968353280} is an apocalyptic number.

152515968353280 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 152515968353280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354161786880000).

152515968353280 is an abundant number, since it is smaller than the sum of its proper divisors (555807605406720).

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

152515968353280 is a wasteful number, since it uses less digits than its factorization.

152515968353280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 77760000, while the sum is 63.

The spelling of 152515968353280 in words is "one hundred fifty-two trillion, five hundred fifteen billion, nine hundred sixty-eight million, three hundred fifty-three thousand, two hundred eighty".