252764313120 has 576 divisors, whose sum is σ = 993998573568. Its totient is φ = 57915648000.

The previous prime is 252764313107. The next prime is 252764313121. The reversal of 252764313120 is 21313467252.

252764313120 is a `hidden beast` number, since 2 + 5 + 2 + 7 + 643 + 1 + 3 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (252764313121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21108735 + ... + 21120705.

It is an arithmetic number, because the mean of its divisors is an integer number (1725691968).

Almost surely, 2^252764313120 is an apocalyptic number.

252764313120 is a gapful number since it is divisible by the number (20) 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 252764313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496999286784).

252764313120 is an abundant number, since it is smaller than the sum of its proper divisors (741234260448).

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

252764313120 is a wasteful number, since it uses less digits than its factorization.

252764313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12077 (or 12066 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 252764313120 in words is "two hundred fifty-two billion, seven hundred sixty-four million, three hundred thirteen thousand, one hundred twenty".