11925172512 has 576 divisors, whose sum is σ = 41607820800. Its totient is φ = 3319418880.

The previous prime is 11925172489. The next prime is 11925172537. The reversal of 11925172512 is 21527152911.

11925172512 is a `hidden beast` number, since 1 + 1 + 92 + 51 + 7 + 2 + 512 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85792539 + ... + 85792677.

It is an arithmetic number, because the mean of its divisors is an integer number (72235800).

Almost surely, 2^11925172512 is an apocalyptic number.

11925172512 is a gapful number since it is divisible by the number (12) 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 11925172512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20803910400).

11925172512 is an abundant number, since it is smaller than the sum of its proper divisors (29682648288).

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

11925172512 is a wasteful number, since it uses less digits than its factorization.

11925172512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 231 counting only the distinct ones).

The product of its digits is 12600, while the sum is 36.

The spelling of 11925172512 in words is "eleven billion, nine hundred twenty-five million, one hundred seventy-two thousand, five hundred twelve".