52077957120 has 624 divisors, whose sum is σ = 208372749312. Its totient is φ = 11784683520.

The previous prime is 52077957091. The next prime is 52077957143. The reversal of 52077957120 is 2175977025.

52077957120 is a `hidden beast` number, since 5 + 2 + 0 + 7 + 79 + 571 + 2 + 0 = 666.

It is a super-2 number, since 2×52077957120² (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 233533329 + ... + 233533551.

It is an arithmetic number, because the mean of its divisors is an integer number (333930688).

Almost surely, 2^52077957120 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 52077957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104186374656).

52077957120 is an abundant number, since it is smaller than the sum of its proper divisors (156294792192).

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

52077957120 is a wasteful number, since it uses less digits than its factorization.

52077957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 308700, while the sum is 45.

The spelling of 52077957120 in words is "fifty-two billion, seventy-seven million, nine hundred fifty-seven thousand, one hundred twenty".