10872934560 has 240 divisors, whose sum is σ = 38615312736. Its totient is φ = 2881101312.

The previous prime is 10872934543. The next prime is 10872934571. The reversal of 10872934560 is 6543927801.

10872934560 is a `hidden beast` number, since 1 + 0 + 87 + 2 + 9 + 3 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2109907 + ... + 2115053.

It is a 1-persistent number, because it is pandigital, but 2⋅10872934560 = 21745869120 is not.

Almost surely, 2^10872934560 is an apocalyptic number.

10872934560 is a gapful number since it is divisible by the number (10) 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 10872934560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19307656368).

10872934560 is an abundant number, since it is smaller than the sum of its proper divisors (27742378176).

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

10872934560 is a wasteful number, since it uses less digits than its factorization.

10872934560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5337 (or 5320 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10872934560 in words is "ten billion, eight hundred seventy-two million, nine hundred thirty-four thousand, five hundred sixty".