11383772574960 has 1280 divisors, whose sum is σ = 43633390141440. Its totient is φ = 2749195468800.

The previous prime is 11383772574949. The next prime is 11383772575051. The reversal of 11383772574960 is 6947527738311.

11383772574960 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 377 + 257 + 4 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×11383772574960² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 30519497334 + ... + 30519497706.

It is an arithmetic number, because the mean of its divisors is an integer number (34088586048).

It is a 1-persistent number, because it is pandigital, but 2⋅11383772574960 = 22767545149920 is not.

Almost surely, 2^{11383772574960} is an apocalyptic number.

11383772574960 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 11383772574960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21816695070720).

11383772574960 is an abundant number, since it is smaller than the sum of its proper divisors (32249617566480).

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

11383772574960 is a wasteful number, since it uses less digits than its factorization.

11383772574960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 11383772574960 in words is "eleven trillion, three hundred eighty-three billion, seven hundred seventy-two million, five hundred seventy-four thousand, nine hundred sixty".