10875747960 has 1024 divisors, whose sum is σ = 49144320000. Its totient is φ = 2113413120.

The previous prime is 10875747959. The next prime is 10875748019. The reversal of 10875747960 is 6974757801.

10875747960 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 574 + 7 + 9 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10875747897 and 10875747906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 69272202 + ... + 69272358.

It is an arithmetic number, because the mean of its divisors is an integer number (47992500).

Almost surely, 2^10875747960 is an apocalyptic number.

10875747960 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 10875747960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24572160000).

10875747960 is an abundant number, since it is smaller than the sum of its proper divisors (38268572040).

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

10875747960 is a wasteful number, since it uses less digits than its factorization.

10875747960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 10875747960 in words is "ten billion, eight hundred seventy-five million, seven hundred forty-seven thousand, nine hundred sixty".