11725188120 has 48 divisors (see below), whose sum is σ = 38106862560. Its totient is φ = 3126716736.

The previous prime is 11725188109. The next prime is 11725188121. The reversal of 11725188120 is 2188152711.

11725188120 is a `hidden beast` number, since 1 + 17 + 2 + 518 + 8 + 120 = 666.

It is a super-3 number, since 3×11725188120³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11725188121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16284624 + ... + 16285343.

It is an arithmetic number, because the mean of its divisors is an integer number (793892970).

Almost surely, 2^11725188120 is an apocalyptic number.

11725188120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11725188120 is an abundant number, since it is smaller than the sum of its proper divisors (26381674440).

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

11725188120 is a wasteful number, since it uses less digits than its factorization.

11725188120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32569984 (or 32569977 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 36.

The spelling of 11725188120 in words is "eleven billion, seven hundred twenty-five million, one hundred eighty-eight thousand, one hundred twenty".