11621376000 has 672 divisors, whose sum is σ = 45584321328. Its totient is φ = 2831155200.

The previous prime is 11621375999. The next prime is 11621376017. The reversal of 11621376000 is 67312611.

11621376000 is a `hidden beast` number, since 1 + 1 + 6 + 21 + 37 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 19501056 + 11601874944 = 4416^2 + 107712^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119807952 + ... + 119808048.

Almost surely, 2^11621376000 is an apocalyptic number.

11621376000 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 11621376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22792160664).

11621376000 is an abundant number, since it is smaller than the sum of its proper divisors (33962945328).

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

11621376000 is an equidigital number, since it uses as much as digits as its factorization.

11621376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 11621376000 its reverse (67312611), we get a palindrome (11688688611).

The spelling of 11621376000 in words is "eleven billion, six hundred twenty-one million, three hundred seventy-six thousand".