11763488056320 has 2112 divisors, whose sum is σ = 55068369108480. Its totient is φ = 2242274918400.

The previous prime is 11763488056279. The next prime is 11763488056337. The reversal of 11763488056320 is 2365088436711.

11763488056320 is a `hidden beast` number, since 1 + 1 + 76 + 3 + 4 + 8 + 8 + 0 + 563 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8348819776 + ... + 8348821184.

Almost surely, 2^{11763488056320} is an apocalyptic number.

11763488056320 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 11763488056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27534184554240).

11763488056320 is an abundant number, since it is smaller than the sum of its proper divisors (43304881052160).

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

11763488056320 is a wasteful number, since it uses less digits than its factorization.

11763488056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 11763488056320 in words is "eleven trillion, seven hundred sixty-three billion, four hundred eighty-eight million, fifty-six thousand, three hundred twenty".