1158564284640 has 768 divisors, whose sum is σ = 4826524631040. Its totient is φ = 253981163520.

The previous prime is 1158564284627. The next prime is 1158564284659. The reversal of 1158564284640 is 464824658511.

1158564284640 is a `hidden beast` number, since 1 + 1 + 58 + 564 + 28 + 4 + 6 + 4 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 105925252 + ... + 105936188.

It is an arithmetic number, because the mean of its divisors is an integer number (6284537280).

Almost surely, 2^{1158564284640} is an apocalyptic number.

1158564284640 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 1158564284640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413262315520).

1158564284640 is an abundant number, since it is smaller than the sum of its proper divisors (3667960346400).

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

1158564284640 is a wasteful number, since it uses less digits than its factorization.

1158564284640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11112 (or 11098 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 1158564284640 in words is "one trillion, one hundred fifty-eight billion, five hundred sixty-four million, two hundred eighty-four thousand, six hundred forty".