10870981632 has 528 divisors, whose sum is σ = 38745616000. Its totient is φ = 2926264320.

The previous prime is 10870981591. The next prime is 10870981643. The reversal of 10870981632 is 23618907801.

10870981632 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 0 + 9 + 8 + 1 + 632 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60060582 + ... + 60060762.

Almost surely, 2^10870981632 is an apocalyptic number.

10870981632 is a gapful number since it is divisible by the number (12) 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 10870981632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19372808000).

10870981632 is an abundant number, since it is smaller than the sum of its proper divisors (27874634368).

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

10870981632 is a wasteful number, since it uses less digits than its factorization.

10870981632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10870981632 in words is "ten billion, eight hundred seventy million, nine hundred eighty-one thousand, six hundred thirty-two".