752271113880 has 768 divisors, whose sum is σ = 3031426944000. Its totient is φ = 159061708800.

The previous prime is 752271113863. The next prime is 752271113903. The reversal of 752271113880 is 88311172257.

752271113880 is a `hidden beast` number, since 7 + 522 + 7 + 1 + 11 + 38 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 497862325 + ... + 497863835.

It is an arithmetic number, because the mean of its divisors is an integer number (3947170500).

Almost surely, 2^752271113880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 752271113880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515713472000).

752271113880 is an abundant number, since it is smaller than the sum of its proper divisors (2279155830120).

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

752271113880 is a wasteful number, since it uses less digits than its factorization.

752271113880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 752271113880 in words is "seven hundred fifty-two billion, two hundred seventy-one million, one hundred thirteen thousand, eight hundred eighty".