10234257552 has 80 divisors (see below), whose sum is σ = 29393297280. Its totient is φ = 3409423488.

The previous prime is 10234257529. The next prime is 10234257581. The reversal of 10234257552 is 25575243201.

10234257552 is a `hidden beast` number, since 1 + 0 + 2 + 34 + 2 + 575 + 52 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 856773 + ... + 868635.

It is an arithmetic number, because the mean of its divisors is an integer number (367416216).

Almost surely, 2^10234257552 is an apocalyptic number.

10234257552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10234257552 is an abundant number, since it is smaller than the sum of its proper divisors (19159039728).

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

10234257552 is a wasteful number, since it uses less digits than its factorization.

10234257552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13877 (or 13865 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 10234257552 in words is "ten billion, two hundred thirty-four million, two hundred fifty-seven thousand, five hundred fifty-two".