152768522412 has 288 divisors, whose sum is σ = 461615831040. Its totient is φ = 42434409600.

The previous prime is 152768522369. The next prime is 152768522513. The reversal of 152768522412 is 214225867251.

152768522412 is a `hidden beast` number, since 1 + 5 + 27 + 68 + 522 + 41 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28219818 + ... + 28225230.

Almost surely, 2^152768522412 is an apocalyptic number.

152768522412 is a gapful number since it is divisible by the number (12) 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 152768522412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230807915520).

152768522412 is an abundant number, since it is smaller than the sum of its proper divisors (308847308628).

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

152768522412 is a wasteful number, since it uses less digits than its factorization.

152768522412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5506 (or 5479 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The spelling of 152768522412 in words is "one hundred fifty-two billion, seven hundred sixty-eight million, five hundred twenty-two thousand, four hundred twelve".