1158063691680 has 768 divisors, whose sum is σ = 4893054566400. Its totient is φ = 250195599360.

The previous prime is 1158063691679. The next prime is 1158063691747. The reversal of 1158063691680 is 861963608511.

1158063691680 is a `hidden beast` number, since 11 + 580 + 6 + 36 + 9 + 16 + 8 + 0 = 666.

It is a super-2 number, since 2×1158063691680² (a number of 25 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 40295556 + ... + 40324284.

It is an arithmetic number, because the mean of its divisors is an integer number (6371164800).

Almost surely, 2^{1158063691680} is an apocalyptic number.

1158063691680 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 1158063691680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446527283200).

1158063691680 is an abundant number, since it is smaller than the sum of its proper divisors (3734990874720).

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

1158063691680 is a wasteful number, since it uses less digits than its factorization.

1158063691680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28834 (or 28820 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 1158063691680 in words is "one trillion, one hundred fifty-eight billion, sixty-three million, six hundred ninety-one thousand, six hundred eighty".