1158409596960 has 288 divisors, whose sum is σ = 4928506756992. Its totient is φ = 240708464640.

The previous prime is 1158409596931. The next prime is 1158409596989. The reversal of 1158409596960 is 696959048511.

1158409596960 is a `hidden beast` number, since 1 + 1 + 58 + 409 + 5 + 96 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1158409596931) and next prime (1158409596989).

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 5112829 + ... + 5334588.

It is an arithmetic number, because the mean of its divisors is an integer number (17112870684).

Almost surely, 2^{1158409596960} is an apocalyptic number.

1158409596960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1158409596960 is an abundant number, since it is smaller than the sum of its proper divisors (3770097160032).

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

1158409596960 is a wasteful number, since it uses less digits than its factorization.

1158409596960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10447456 (or 10447445 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 1158409596960 in words is "one trillion, one hundred fifty-eight billion, four hundred nine million, five hundred ninety-six thousand, nine hundred sixty".