11702082960 has 280 divisors, whose sum is σ = 41075954304. Its totient is φ = 3098891520.

The previous prime is 11702082941. The next prime is 11702082979. The reversal of 11702082960 is 6928020711.

It is an interprime number because it is at equal distance from previous prime (11702082941) and next prime (11702082979).

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9505545 + ... + 9506775.

Almost surely, 2^11702082960 is an apocalyptic number.

11702082960 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 11702082960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20537977152).

11702082960 is an abundant number, since it is smaller than the sum of its proper divisors (29373871344).

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

11702082960 is a wasteful number, since it uses less digits than its factorization.

11702082960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11702082960 in words is "eleven billion, seven hundred two million, eighty-two thousand, nine hundred sixty".