11667015360 has 1792 divisors, whose sum is σ = 58989772800. Its totient is φ = 2090188800.

The previous prime is 11667015359. The next prime is 11667015407. The reversal of 11667015360 is 6351076611.

11667015360 is a `hidden beast` number, since 116 + 6 + 7 + 0 + 1 + 536 + 0 = 666.

It is a super-2 number, since 2×11667015360² (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 255 ways as a sum of consecutive naturals, for example, 164324125 + ... + 164324195.

It is an arithmetic number, because the mean of its divisors is an integer number (32918400).

Almost surely, 2^11667015360 is an apocalyptic number.

11667015360 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 11667015360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29494886400).

11667015360 is an abundant number, since it is smaller than the sum of its proper divisors (47322757440).

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

11667015360 is a wasteful number, since it uses less digits than its factorization.

11667015360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 11667015360 in words is "eleven billion, six hundred sixty-seven million, fifteen thousand, three hundred sixty".