11725624140 has 192 divisors, whose sum is σ = 34594947072. Its totient is φ = 2963808000.

The previous prime is 11725624139. The next prime is 11725624151. The reversal of 11725624140 is 4142652711.

It is a super-2 number, since 2×11725624140² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23311129 + ... + 23311631.

It is an arithmetic number, because the mean of its divisors is an integer number (180182016).

Almost surely, 2^11725624140 is an apocalyptic number.

11725624140 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 11725624140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297473536).

11725624140 is an abundant number, since it is smaller than the sum of its proper divisors (22869322932).

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

11725624140 is a wasteful number, since it uses less digits than its factorization.

11725624140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 11725624140 in words is "eleven billion, seven hundred twenty-five million, six hundred twenty-four thousand, one hundred forty".