11839800960 has 768 divisors, whose sum is σ = 47636709120. Its totient is φ = 2683699200.

The previous prime is 11839800937. The next prime is 11839800983. The reversal of 11839800960 is 6900893811.

It is an interprime number because it is at equal distance from previous prime (11839800937) and next prime (11839800983).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90380095 + ... + 90380225.

It is an arithmetic number, because the mean of its divisors is an integer number (62026965).

Almost surely, 2^11839800960 is an apocalyptic number.

11839800960 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 11839800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23818354560).

11839800960 is an abundant number, since it is smaller than the sum of its proper divisors (35796908160).

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

11839800960 is a wasteful number, since it uses less digits than its factorization.

11839800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 11839800960 in words is "eleven billion, eight hundred thirty-nine million, eight hundred thousand, nine hundred sixty".