10963572871680 has 960 divisors, whose sum is σ = 44657328748032. Its totient is φ = 2450677432320.

The previous prime is 10963572871673. The next prime is 10963572871711. The reversal of 10963572871680 is 8617827536901.

10963572871680 is a `hidden beast` number, since 10 + 96 + 357 + 28 + 7 + 168 + 0 = 666.

10963572871680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×10963572871680² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5314382329 + ... + 5314384391.

Almost surely, 2^{10963572871680} is an apocalyptic number.

10963572871680 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 10963572871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22328664374016).

10963572871680 is an abundant number, since it is smaller than the sum of its proper divisors (33693755876352).

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

10963572871680 is a wasteful number, since it uses less digits than its factorization.

10963572871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3729 (or 3710 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 10963572871680 in words is "ten trillion, nine hundred sixty-three billion, five hundred seventy-two million, eight hundred seventy-one thousand, six hundred eighty".