10971080640 has 336 divisors, whose sum is σ = 42147731808. Its totient is φ = 2700324864.

The previous prime is 10971080629. The next prime is 10971080651. The reversal of 10971080640 is 4608017901.

10971080640 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 1 + 0 + 8 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (10971080629) and next prime (10971080651).

It is a super-2 number, since 2×10971080640² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10971080595 and 10971080604.

It is a congruent number.

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, 1005454 + ... + 1016306.

It is an arithmetic number, because the mean of its divisors is an integer number (125439678).

Almost surely, 2^10971080640 is an apocalyptic number.

10971080640 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 10971080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21073865904).

10971080640 is an abundant number, since it is smaller than the sum of its proper divisors (31176651168).

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

10971080640 is a wasteful number, since it uses less digits than its factorization.

10971080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10898 (or 10876 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10971080640 in words is "ten billion, nine hundred seventy-one million, eighty thousand, six hundred forty".