11652802560 has 672 divisors, whose sum is σ = 48124177920. Its totient is φ = 2651553792.

The previous prime is 11652802559. The next prime is 11652802597. The reversal of 11652802560 is 6520825611.

11652802560 is a `hidden beast` number, since 1 + 16 + 5 + 2 + 80 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 52254609 + ... + 52254831.

It is an arithmetic number, because the mean of its divisors is an integer number (71613360).

Almost surely, 2^11652802560 is an apocalyptic number.

11652802560 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 11652802560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24062088960).

11652802560 is an abundant number, since it is smaller than the sum of its proper divisors (36471375360).

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

11652802560 is an frugal number, since it uses more digits than its factorization.

11652802560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 11652802560 in words is "eleven billion, six hundred fifty-two million, eight hundred two thousand, five hundred sixty".