10956537903360 has 1152 divisors, whose sum is σ = 43296872693760. Its totient is φ = 2307568435200.

The previous prime is 10956537903323. The next prime is 10956537903371. The reversal of 10956537903360 is 6330973565901.

It is a self number, because there is not a number n which added to its sum of digits gives 10956537903360.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1764050655 + ... + 1764056865.

It is an arithmetic number, because the mean of its divisors is an integer number (37584090880).

Almost surely, 2^{10956537903360} is an apocalyptic number.

10956537903360 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 10956537903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21648436346880).

10956537903360 is an abundant number, since it is smaller than the sum of its proper divisors (32340334790400).

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

10956537903360 is a wasteful number, since it uses less digits than its factorization.

10956537903360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6375 (or 6361 counting only the distinct ones).

The product of its (nonzero) digits is 13778100, while the sum is 57.

The spelling of 10956537903360 in words is "ten trillion, nine hundred fifty-six billion, five hundred thirty-seven million, nine hundred three thousand, three hundred sixty".