10881630720 has 400 divisors, whose sum is σ = 39449146968. Its totient is φ = 2866544640.

The previous prime is 10881630709. The next prime is 10881630731. The reversal of 10881630720 is 2703618801.

10881630720 is a `hidden beast` number, since 10 + 8 + 8 + 1 + 630 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10881630709) and next prime (10881630731).

It can be written as a sum of positive squares in 4 ways, for example, as 7996651776 + 2884978944 = 89424^2 + 53712^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20113650 + ... + 20114190.

Almost surely, 2^10881630720 is an apocalyptic number.

10881630720 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 10881630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19724573484).

10881630720 is an abundant number, since it is smaller than the sum of its proper divisors (28567516248).

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

10881630720 is an frugal number, since it uses more digits than its factorization.

10881630720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

It can be divided in two parts, 10881 and 630720, that added together give a square (641601 = 801²).

The spelling of 10881630720 in words is "ten billion, eight hundred eighty-one million, six hundred thirty thousand, seven hundred twenty".