10872150656 has 64 divisors (see below), whose sum is σ = 21934233000. Its totient is φ = 5367398400.

The previous prime is 10872150637. The next prime is 10872150689. The reversal of 10872150656 is 65605127801.

It can be written as a sum of positive squares in 4 ways, for example, as 9561710656 + 1310440000 = 97784^2 + 36200^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10872150656² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5803736 + ... + 5805608.

Almost surely, 2^10872150656 is an apocalyptic number.

10872150656 is a gapful number since it is divisible by the number (16) 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 10872150656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10967116500).

10872150656 is an abundant number, since it is smaller than the sum of its proper divisors (11062082344).

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

10872150656 is a wasteful number, since it uses less digits than its factorization.

10872150656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2437 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 41.

The spelling of 10872150656 in words is "ten billion, eight hundred seventy-two million, one hundred fifty thousand, six hundred fifty-six".