10981975680 has 1024 divisors, whose sum is σ = 46061568000. Its totient is φ = 2448506880.

The previous prime is 10981975663. The next prime is 10981975681. The reversal of 10981975680 is 8657918901.

It is a super-2 number, since 2×10981975680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10981975681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 132312919 + ... + 132313001.

It is an arithmetic number, because the mean of its divisors is an integer number (44982000).

Almost surely, 2^10981975680 is an apocalyptic number.

10981975680 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 10981975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23030784000).

10981975680 is an abundant number, since it is smaller than the sum of its proper divisors (35079592320).

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

10981975680 is a wasteful number, since it uses less digits than its factorization.

10981975680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 10981975680 in words is "ten billion, nine hundred eighty-one million, nine hundred seventy-five thousand, six hundred eighty".