10876453632 has 288 divisors, whose sum is σ = 36939168000. Its totient is φ = 3122012160.

The previous prime is 10876453607. The next prime is 10876453639. The reversal of 10876453632 is 23635467801.

10876453632 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 6 + 4 + 5 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (10876453639) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1440844 + ... + 1448372.

It is an arithmetic number, because the mean of its divisors is an integer number (128261000).

Almost surely, 2^10876453632 is an apocalyptic number.

10876453632 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 10876453632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18469584000).

10876453632 is an abundant number, since it is smaller than the sum of its proper divisors (26062714368).

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

10876453632 is a wasteful number, since it uses less digits than its factorization.

10876453632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7584 (or 7564 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 10876453632 in words is "ten billion, eight hundred seventy-six million, four hundred fifty-three thousand, six hundred thirty-two".