10867464532900 has 36 divisors (see below), whose sum is σ = 23587959531780. Its totient is φ = 4345960652800.

The previous prime is 10867464532733. The next prime is 10867464532901. The reversal of 10867464532900 is 923546476801.

It can be written as a sum of positive squares in 6 ways, for example, as 247335139584 + 10620129393316 = 497328^2 + 3258854^2 .

It is not an unprimeable number, because it can be changed into a prime (10867464532901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12388285 + ... + 13236484.

It is an arithmetic number, because the mean of its divisors is an integer number (655221098105).

It is a 2-persistent number, because it is pandigital, and so is 2⋅10867464532900 = 21734929065800, but 3⋅10867464532900 = 32602393598700 is not.

Almost surely, 2^{10867464532900} is an apocalyptic number.

10867464532900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10867464532900 is an abundant number, since it is smaller than the sum of its proper divisors (12720494998880).

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

10867464532900 is a wasteful number, since it uses less digits than its factorization.

10867464532900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25629024 (or 25629017 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 10867464532900 in words is "ten trillion, eight hundred sixty-seven billion, four hundred sixty-four million, five hundred thirty-two thousand, nine hundred".