11508272640 has 800 divisors, whose sum is σ = 45631365120. Its totient is φ = 2759049216.

The previous prime is 11508272639. The next prime is 11508272651. The reversal of 11508272640 is 4627280511.

11508272640 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 8 + 2 + 7 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11508272595 and 11508272604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 90616257 + ... + 90616383.

Almost surely, 2^11508272640 is an apocalyptic number.

11508272640 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 11508272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22815682560).

11508272640 is an abundant number, since it is smaller than the sum of its proper divisors (34123092480).

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

11508272640 is a wasteful number, since it uses less digits than its factorization.

11508272640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 11508272640 in words is "eleven billion, five hundred eight million, two hundred seventy-two thousand, six hundred forty".