11577725280 has 864 divisors, whose sum is σ = 47432915712. Its totient is φ = 2659599360.

The previous prime is 11577725239. The next prime is 11577725293. The reversal of 11577725280 is 8252777511.

11577725280 is a `hidden beast` number, since 1 + 1 + 57 + 7 + 72 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 108202987 + ... + 108203093.

It is an arithmetic number, because the mean of its divisors is an integer number (54899208).

Almost surely, 2^11577725280 is an apocalyptic number.

11577725280 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 11577725280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23716457856).

11577725280 is an abundant number, since it is smaller than the sum of its proper divisors (35855190432).

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

11577725280 is a wasteful number, since it uses less digits than its factorization.

11577725280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 274400, while the sum is 45.

The spelling of 11577725280 in words is "eleven billion, five hundred seventy-seven million, seven hundred twenty-five thousand, two hundred eighty".