11907072000 has 768 divisors, whose sum is σ = 47845792800. Its totient is φ = 2831155200.

The previous prime is 11907071999. The next prime is 11907072013. The reversal of 11907072000 is 27070911.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×11907072000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 626687991 + ... + 626688009.

Almost surely, 2^11907072000 is an apocalyptic number.

11907072000 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 11907072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23922896400).

11907072000 is an abundant number, since it is smaller than the sum of its proper divisors (35938720800).

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

11907072000 is an equidigital number, since it uses as much as digits as its factorization.

11907072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The spelling of 11907072000 in words is "eleven billion, nine hundred seven million, seventy-two thousand".