1185518496960 has 1344 divisors, whose sum is σ = 5076538122240. Its totient is φ = 259392430080.

The previous prime is 1185518496917. The next prime is 1185518496961. The reversal of 1185518496960 is 696948155811.

1185518496960 is a `hidden beast` number, since 1 + 1 + 8 + 5 + 51 + 8 + 496 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is not an unprimeable number, because it can be changed into a prime (1185518496961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1351788042 + ... + 1351788918.

Almost surely, 2^{1185518496960} is an apocalyptic number.

1185518496960 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 1185518496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538269061120).

1185518496960 is an abundant number, since it is smaller than the sum of its proper divisors (3891019625280).

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

1185518496960 is a wasteful number, since it uses less digits than its factorization.

1185518496960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 63.

The spelling of 1185518496960 in words is "one trillion, one hundred eighty-five billion, five hundred eighteen million, four hundred ninety-six thousand, nine hundred sixty".