11725107680 has 384 divisors, whose sum is σ = 34269806592. Its totient is φ = 3732480000.

The previous prime is 11725107673. The next prime is 11725107733. The reversal of 11725107680 is 8670152711.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43265945 + ... + 43266215.

It is an arithmetic number, because the mean of its divisors is an integer number (89244288).

Almost surely, 2^11725107680 is an apocalyptic number.

11725107680 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 11725107680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17134903296).

11725107680 is an abundant number, since it is smaller than the sum of its proper divisors (22544698912).

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

11725107680 is a wasteful number, since it uses less digits than its factorization.

11725107680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 38.

The spelling of 11725107680 in words is "eleven billion, seven hundred twenty-five million, one hundred seven thousand, six hundred eighty".