11387565504 has 252 divisors, whose sum is σ = 38496538704. Its totient is φ = 3208439808.

The previous prime is 11387565503. The next prime is 11387565547. The reversal of 11387565504 is 40556578311.

11387565504 is a `hidden beast` number, since 1 + 1 + 3 + 87 + 5 + 65 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 11387565504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11387565503) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2057589 + ... + 2063115.

Almost surely, 2^11387565504 is an apocalyptic number.

11387565504 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 11387565504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19248269352).

11387565504 is an abundant number, since it is smaller than the sum of its proper divisors (27108973200).

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

11387565504 is a wasteful number, since it uses less digits than its factorization.

11387565504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5632 (or 5612 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 11387565504 in words is "eleven billion, three hundred eighty-seven million, five hundred sixty-five thousand, five hundred four".