11718577080 has 192 divisors, whose sum is σ = 43734412800. Its totient is φ = 2665716480.

The previous prime is 11718577067. The next prime is 11718577099. The reversal of 11718577080 is 8077581711.

11718577080 is a `hidden beast` number, since 1 + 1 + 71 + 8 + 577 + 0 + 8 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 520701 + ... + 542739.

It is an arithmetic number, because the mean of its divisors is an integer number (227783400).

Almost surely, 2^11718577080 is an apocalyptic number.

11718577080 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 11718577080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21867206400).

11718577080 is an abundant number, since it is smaller than the sum of its proper divisors (32015835720).

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

11718577080 is a wasteful number, since it uses less digits than its factorization.

11718577080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22274 (or 22267 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 45.

The spelling of 11718577080 in words is "eleven billion, seven hundred eighteen million, five hundred seventy-seven thousand, eighty".