11777425920 has 800 divisors, whose sum is σ = 48287253168. Its totient is φ = 2717908992.

The previous prime is 11777425909. The next prime is 11777425921. The reversal of 11777425920 is 2952477711.

11777425920 is a `hidden beast` number, since 1 + 17 + 7 + 7 + 42 + 592 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8308687104 + 3468738816 = 91152^2 + 58896^2 .

It is a super-2 number, since 2×11777425920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11777425921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45826432 + ... + 45826688.

Almost surely, 2^11777425920 is an apocalyptic number.

11777425920 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 11777425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24143626584).

11777425920 is an abundant number, since it is smaller than the sum of its proper divisors (36509827248).

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

11777425920 is a wasteful number, since it uses less digits than its factorization.

11777425920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 11777425920 in words is "eleven billion, seven hundred seventy-seven million, four hundred twenty-five thousand, nine hundred twenty".