1186652748960 has 864 divisors, whose sum is σ = 5250291359040. Its totient is φ = 241839489024.

The previous prime is 1186652748959. The next prime is 1186652749021. The reversal of 1186652748960 is 698472566811.

1186652748960 is a `hidden beast` number, since 1 + 1 + 8 + 6 + 6 + 527 + 48 + 9 + 60 = 666.

It is a super-2 number, since 2×1186652748960² (a number of 25 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 22764847 + ... + 22816913.

It is an arithmetic number, because the mean of its divisors is an integer number (6076726110).

Almost surely, 2^{1186652748960} is an apocalyptic number.

1186652748960 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 1186652748960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625145679520).

1186652748960 is an abundant number, since it is smaller than the sum of its proper divisors (4063638610080).

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

1186652748960 is a wasteful number, since it uses less digits than its factorization.

1186652748960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52138 (or 52120 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 1186652748960 in words is "one trillion, one hundred eighty-six billion, six hundred fifty-two million, seven hundred forty-eight thousand, nine hundred sixty".