158794070400 has 1152 divisors, whose sum is σ = 678051691200. Its totient is φ = 34619719680.

The previous prime is 158794070381. The next prime is 158794070401. The reversal of 158794070400 is 4070497851.

It is a happy number.

158794070400 is a `hidden beast` number, since 15 + 87 + 94 + 0 + 70 + 400 = 666.

158794070400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158794070401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 917884714 + ... + 917884886.

Almost surely, 2^158794070400 is an apocalyptic number.

158794070400 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 158794070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339025845600).

158794070400 is an abundant number, since it is smaller than the sum of its proper divisors (519257620800).

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

158794070400 is a wasteful number, since it uses less digits than its factorization.

158794070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 158794070400 in words is "one hundred fifty-eight billion, seven hundred ninety-four million, seventy thousand, four hundred".