252352617840 has 120 divisors (see below), whose sum is σ = 852559370208. Its totient is φ = 66891041280.

The previous prime is 252352617787. The next prime is 252352617877. The reversal of 252352617840 is 48716253252.

252352617840 is a `hidden beast` number, since 2 + 5 + 23 + 5 + 2 + 617 + 8 + 4 + 0 = 666.

252352617840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 929131 + ... + 1169610.

Almost surely, 2^252352617840 is an apocalyptic number.

252352617840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252352617840 is an abundant number, since it is smaller than the sum of its proper divisors (600206752368).

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

252352617840 is a wasteful number, since it uses less digits than its factorization.

252352617840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098927 (or 2098918 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 252352617840 in words is "two hundred fifty-two billion, three hundred fifty-two million, six hundred seventeen thousand, eight hundred forty".