11925688320 has 1040 divisors, whose sum is σ = 53282127360. Its totient is φ = 2484338688.

The previous prime is 11925688319. The next prime is 11925688321. The reversal of 11925688320 is 2388652911.

11925688320 is a `hidden beast` number, since 1 + 1 + 9 + 2 + 568 + 83 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11925688319) and next prime (11925688321).

It is a tau number, because it is divible by the number of its divisors (1040).

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 (11925688321) 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, 150958041 + ... + 150958119.

Almost surely, 2^11925688320 is an apocalyptic number.

11925688320 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 11925688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26641063680).

11925688320 is an abundant number, since it is smaller than the sum of its proper divisors (41356439040).

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

11925688320 is an equidigital number, since it uses as much as digits as its factorization.

11925688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 11925688320 in words is "eleven billion, nine hundred twenty-five million, six hundred eighty-eight thousand, three hundred twenty".