10870606656 has 672 divisors, whose sum is σ = 40899575808. Its totient is φ = 2682408960.

The previous prime is 10870606639. The next prime is 10870606729. The reversal of 10870606656 is 65660607801.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85595265 + ... + 85595391.

It is an arithmetic number, because the mean of its divisors is an integer number (60862464).

Almost surely, 2^10870606656 is an apocalyptic number.

10870606656 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 10870606656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20449787904).

10870606656 is an abundant number, since it is smaller than the sum of its proper divisors (30028969152).

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

10870606656 is a wasteful number, since it uses less digits than its factorization.

10870606656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 246 counting only the distinct ones).

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

The spelling of 10870606656 in words is "ten billion, eight hundred seventy million, six hundred six thousand, six hundred fifty-six".