153027772560 has 1120 divisors, whose sum is σ = 629527707648. Its totient is φ = 34219376640.

The previous prime is 153027772537. The next prime is 153027772603. The reversal of 153027772560 is 65277720351.

153027772560 is a `hidden beast` number, since 1 + 530 + 27 + 77 + 25 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 399550129 + ... + 399550511.

Almost surely, 2^153027772560 is an apocalyptic number.

153027772560 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 153027772560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314763853824).

153027772560 is an abundant number, since it is smaller than the sum of its proper divisors (476499935088).

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

153027772560 is a wasteful number, since it uses less digits than its factorization.

153027772560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 153027772560 in words is "one hundred fifty-three billion, twenty-seven million, seven hundred seventy-two thousand, five hundred sixty".