11802591360 has 768 divisors, whose sum is σ = 50248823040. Its totient is φ = 2491416576.

The previous prime is 11802591349. The next prime is 11802591373. The reversal of 11802591360 is 6319520811.

11802591360 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 2 + 591 + 3 + 60 = 666.

It is a super-2 number, since 2×11802591360² (a number of 21 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 45924352 + ... + 45924608.

It is an arithmetic number, because the mean of its divisors is an integer number (65428155).

Almost surely, 2^11802591360 is an apocalyptic number.

11802591360 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 11802591360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25124411520).

11802591360 is an abundant number, since it is smaller than the sum of its proper divisors (38446231680).

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

11802591360 is a wasteful number, since it uses less digits than its factorization.

11802591360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 11802591360 in words is "eleven billion, eight hundred two million, five hundred ninety-one thousand, three hundred sixty".