252158704896 has 576 divisors, whose sum is σ = 848535367680. Its totient is φ = 64815759360.

The previous prime is 252158704793. The next prime is 252158704907. The reversal of 252158704896 is 698407851252.

252158704896 is digitally balanced in base 2 and base 3, because in such bases 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 (57).

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 63 ways as a sum of consecutive naturals, for example, 425225176 + ... + 425225768.

It is an arithmetic number, because the mean of its divisors is an integer number (1473151680).

Almost surely, 2^252158704896 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 252158704896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424267683840).

252158704896 is an abundant number, since it is smaller than the sum of its proper divisors (596376662784).

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

252158704896 is a wasteful number, since it uses less digits than its factorization.

252158704896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 57.

The spelling of 252158704896 in words is "two hundred fifty-two billion, one hundred fifty-eight million, seven hundred four thousand, eight hundred ninety-six".