11615947466760 has 384 divisors, whose sum is σ = 46468727585280. Its totient is φ = 2450576830464.

The previous prime is 11615947466743. The next prime is 11615947466813. The reversal of 11615947466760 is 6766474951611.

It is a happy number.

11615947466760 is a `hidden beast` number, since 1 + 1 + 6 + 15 + 94 + 7 + 466 + 76 + 0 = 666.

It is a super-2 number, since 2×11615947466760² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 597303357 + ... + 597322803.

It is an arithmetic number, because the mean of its divisors is an integer number (121012311420).

Almost surely, 2^{11615947466760} is an apocalyptic number.

11615947466760 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 11615947466760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23234363792640).

11615947466760 is an abundant number, since it is smaller than the sum of its proper divisors (34852780118520).

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

11615947466760 is a wasteful number, since it uses less digits than its factorization.

11615947466760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37717 (or 37710 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 11615947466760 in words is "eleven trillion, six hundred fifteen billion, nine hundred forty-seven million, four hundred sixty-six thousand, seven hundred sixty".