1158376485600 has 576 divisors, whose sum is σ = 4250495450880. Its totient is φ = 304419686400.

The previous prime is 1158376485593. The next prime is 1158376485611. The reversal of 1158376485600 is 65846738511.

It is a happy number.

1158376485600 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 3 + 76 + 4 + 8 + 560 + 0 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

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, 1410933190 + ... + 1410934010.

It is an arithmetic number, because the mean of its divisors is an integer number (7379332380).

Almost surely, 2^{1158376485600} is an apocalyptic number.

1158376485600 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 1158376485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125247725440).

1158376485600 is an abundant number, since it is smaller than the sum of its proper divisors (3092118965280).

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

1158376485600 is a wasteful number, since it uses less digits than its factorization.

1158376485600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 1158376485600 in words is "one trillion, one hundred fifty-eight billion, three hundred seventy-six million, four hundred eighty-five thousand, six hundred".