11777518908 has 144 divisors (see below), whose sum is σ = 31536820224. Its totient is φ = 3842354880.

The previous prime is 11777518891. The next prime is 11777518931. The reversal of 11777518908 is 80981577711.

11777518908 is a `hidden beast` number, since 117 + 7 + 7 + 518 + 9 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10834341 + ... + 10835427.

It is an arithmetic number, because the mean of its divisors is an integer number (219005696).

Almost surely, 2^11777518908 is an apocalyptic number.

11777518908 is a gapful number since it is divisible by the number (18) 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 11777518908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15768410112).

11777518908 is an abundant number, since it is smaller than the sum of its proper divisors (19759301316).

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

11777518908 is a wasteful number, since it uses less digits than its factorization.

11777518908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 54.

The spelling of 11777518908 in words is "eleven billion, seven hundred seventy-seven million, five hundred eighteen thousand, nine hundred eight".