1158990940800 has 3072 divisors, whose sum is σ = 5704349184000. Its totient is φ = 222555340800.

The previous prime is 1158990940777. The next prime is 1158990940841. The reversal of 1158990940800 is 80490998511.

1158990940800 is a `hidden beast` number, since 11 + 589 + 9 + 0 + 9 + 40 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6699369514 + ... + 6699369686.

It is an arithmetic number, because the mean of its divisors is an integer number (1856884500).

Almost surely, 2^{1158990940800} is an apocalyptic number.

1158990940800 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 1158990940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852174592000).

1158990940800 is an abundant number, since it is smaller than the sum of its proper divisors (4545358243200).

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

1158990940800 is a wasteful number, since it uses less digits than its factorization.

1158990940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 1158990940800 in words is "one trillion, one hundred fifty-eight billion, nine hundred ninety million, nine hundred forty thousand, eight hundred".