11725086464 has 288 divisors, whose sum is σ = 30548152320. Its totient is φ = 4364845056.

The previous prime is 11725086427. The next prime is 11725086481. The reversal of 11725086464 is 46468052711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42328694 + ... + 42328970.

Almost surely, 2^11725086464 is an apocalyptic number.

11725086464 is a gapful number since it is divisible by the number (14) 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 11725086464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15274076160).

11725086464 is an abundant number, since it is smaller than the sum of its proper divisors (18823065856).

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

11725086464 is a wasteful number, since it uses less digits than its factorization.

11725086464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 11725086464 in words is "eleven billion, seven hundred twenty-five million, eighty-six thousand, four hundred sixty-four".