11725365120 has 1024 divisors, whose sum is σ = 49563187200. Its totient is φ = 2293235712.

The previous prime is 11725365079. The next prime is 11725365149. The reversal of 11725365120 is 2156352711.

It is a super-2 number, since 2×11725365120² (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 127 ways as a sum of consecutive naturals, for example, 160621404 + ... + 160621476.

It is an arithmetic number, because the mean of its divisors is an integer number (48401550).

Almost surely, 2^11725365120 is an apocalyptic number.

11725365120 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 11725365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24781593600).

11725365120 is an abundant number, since it is smaller than the sum of its proper divisors (37837822080).

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

11725365120 is a wasteful number, since it uses less digits than its factorization.

11725365120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The spelling of 11725365120 in words is "eleven billion, seven hundred twenty-five million, three hundred sixty-five thousand, one hundred twenty".