11623772160 has 1560 divisors, whose sum is σ = 56945273616. Its totient is φ = 2229534720.

The previous prime is 11623772137. The next prime is 11623772161. The reversal of 11623772160 is 6127732611.

It is a happy number.

11623772160 is a `hidden beast` number, since 1 + 1 + 623 + 7 + 7 + 21 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1560).

It is a super-2 number, since 2×11623772160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11623772161) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 894136314 + ... + 894136326.

Almost surely, 2^11623772160 is an apocalyptic number.

11623772160 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 11623772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28472636808).

11623772160 is an abundant number, since it is smaller than the sum of its proper divisors (45321501456).

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

11623772160 is a wasteful number, since it uses less digits than its factorization.

11623772160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 11623772160 in words is "eleven billion, six hundred twenty-three million, seven hundred seventy-two thousand, one hundred sixty".