11770665984 has 880 divisors, whose sum is σ = 46604785920. Its totient is φ = 2866544640.

The previous prime is 11770665979. The next prime is 11770666027. The reversal of 11770665984 is 48956607711.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11770665984.

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, 121347024 + ... + 121347120.

It is an arithmetic number, because the mean of its divisors is an integer number (52959984).

Almost surely, 2^11770665984 is an apocalyptic number.

11770665984 is a gapful number since it is divisible by the number (14) 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 11770665984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23302392960).

11770665984 is an abundant number, since it is smaller than the sum of its proper divisors (34834119936).

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

11770665984 is a wasteful number, since it uses less digits than its factorization.

11770665984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 11770665984 in words is "eleven billion, seven hundred seventy million, six hundred sixty-five thousand, nine hundred eighty-four".