10456867512 has 288 divisors, whose sum is σ = 36795638880. Its totient is φ = 2612113920.

The previous prime is 10456867507. The next prime is 10456867529. The reversal of 10456867512 is 21576865401.

10456867512 is a `hidden beast` number, since 1 + 0 + 4 + 56 + 86 + 7 + 512 = 666.

10456867512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2363062 + ... + 2367482.

It is an arithmetic number, because the mean of its divisors is an integer number (127762635).

Almost surely, 2^10456867512 is an apocalyptic number.

10456867512 is a gapful number since it is divisible by the number (12) 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 10456867512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18397819440).

10456867512 is an abundant number, since it is smaller than the sum of its proper divisors (26338771368).

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

10456867512 is a wasteful number, since it uses less digits than its factorization.

10456867512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4491 (or 4465 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 10456867512 in words is "ten billion, four hundred fifty-six million, eight hundred sixty-seven thousand, five hundred twelve".