252755807002560 has 784 divisors, whose sum is σ = 911315367575424. Its totient is φ = 66736829988864.

The previous prime is 252755807002547. The next prime is 252755807002579. The reversal of 252755807002560 is 65200708557252.

It is a happy number.

252755807002560 is a `hidden beast` number, since 2 + 5 + 2 + 7 + 5 + 5 + 8 + 0 + 70 + 0 + 2 + 560 = 666.

252755807002560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 252755807002497 and 252755807002506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 29075781574 + ... + 29075790266.

Almost surely, 2^{252755807002560} is an apocalyptic number.

252755807002560 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 252755807002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455657683787712).

252755807002560 is an abundant number, since it is smaller than the sum of its proper divisors (658559560572864).

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

252755807002560 is a wasteful number, since it uses less digits than its factorization.

252755807002560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9944 (or 9919 counting only the distinct ones).

The product of its (nonzero) digits is 11760000, while the sum is 54.

The spelling of 252755807002560 in words is "two hundred fifty-two trillion, seven hundred fifty-five billion, eight hundred seven million, two thousand, five hundred sixty".