120572495568 has 400 divisors, whose sum is σ = 423032138496. Its totient is φ = 32407879680.

The previous prime is 120572495567. The next prime is 120572495579. The reversal of 120572495568 is 865594275021.

120572495568 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 72 + 4 + 9 + 5 + 568 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120572495567) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12723280 + ... + 12732752.

Almost surely, 2^120572495568 is an apocalyptic number.

120572495568 is a gapful number since it is divisible by the number (18) 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 120572495568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211516069248).

120572495568 is an abundant number, since it is smaller than the sum of its proper divisors (302459642928).

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

120572495568 is a wasteful number, since it uses less digits than its factorization.

120572495568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9584 (or 9569 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 120572495568 in words is "one hundred twenty billion, five hundred seventy-two million, four hundred ninety-five thousand, five hundred sixty-eight".