10872688320 has 560 divisors, whose sum is σ = 42721243488. Its totient is φ = 2607759360.

The previous prime is 10872688273. The next prime is 10872688349. The reversal of 10872688320 is 2388627801.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13814967 + ... + 13815753.

Almost surely, 2^10872688320 is an apocalyptic number.

10872688320 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 10872688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21360621744).

10872688320 is an abundant number, since it is smaller than the sum of its proper divisors (31848555168).

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

10872688320 is a wasteful number, since it uses less digits than its factorization.

10872688320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 10872688320 in words is "ten billion, eight hundred seventy-two million, six hundred eighty-eight thousand, three hundred twenty".