10957509120 has 640 divisors, whose sum is σ = 40092433920. Its totient is φ = 2537553920.

The previous prime is 10957509107. The next prime is 10957509131. The reversal of 10957509120 is 2190575901.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×10957509120² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123118036 + ... + 123118124.

It is an arithmetic number, because the mean of its divisors is an integer number (62644428).

Almost surely, 2^10957509120 is an apocalyptic number.

10957509120 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 10957509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20046216960).

10957509120 is an abundant number, since it is smaller than the sum of its proper divisors (29134924800).

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

10957509120 is a wasteful number, since it uses less digits than its factorization.

10957509120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 39.

The spelling of 10957509120 in words is "ten billion, nine hundred fifty-seven million, five hundred nine thousand, one hundred twenty".