10957487760 has 160 divisors (see below), whose sum is σ = 38167200000. Its totient is φ = 2889114624.

The previous prime is 10957487747. The next prime is 10957487789. The reversal of 10957487760 is 6778475901.

10957487760 is a `hidden beast` number, since 1 + 0 + 9 + 574 + 8 + 7 + 7 + 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 = 10957487697 and 10957487706.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163741 + ... + 220739.

It is an arithmetic number, because the mean of its divisors is an integer number (238545000).

Almost surely, 2^10957487760 is an apocalyptic number.

10957487760 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 10957487760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19083600000).

10957487760 is an abundant number, since it is smaller than the sum of its proper divisors (27209712240).

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

10957487760 is a wasteful number, since it uses less digits than its factorization.

10957487760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57110 (or 57098 counting only the distinct ones).

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

The spelling of 10957487760 in words is "ten billion, nine hundred fifty-seven million, four hundred eighty-seven thousand, seven hundred sixty".