158091897600 has 648 divisors, whose sum is σ = 695671328352. Its totient is φ = 33354547200.

The previous prime is 158091897589. The next prime is 158091897671. The reversal of 158091897600 is 6798190851.

158091897600 is a `hidden beast` number, since 15 + 8 + 0 + 9 + 18 + 9 + 7 + 600 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5226520 + ... + 5256680.

Almost surely, 2^158091897600 is an apocalyptic number.

158091897600 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 158091897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347835664176).

158091897600 is an abundant number, since it is smaller than the sum of its proper divisors (537579430752).

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

158091897600 is a wasteful number, since it uses less digits than its factorization.

158091897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30213 (or 30191 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 158091897600 in words is "one hundred fifty-eight billion, ninety-one million, eight hundred ninety-seven thousand, six hundred".