158350172400 has 960 divisors, whose sum is σ = 686901273600. Its totient is φ = 34264166400.

The previous prime is 158350172399. The next prime is 158350172429. The reversal of 158350172400 is 4271053851.

158350172400 is a `hidden beast` number, since 1 + 5 + 83 + 5 + 0 + 172 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 116347720 + ... + 116349080.

It is an arithmetic number, because the mean of its divisors is an integer number (715522160).

Almost surely, 2^158350172400 is an apocalyptic number.

158350172400 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 158350172400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343450636800).

158350172400 is an abundant number, since it is smaller than the sum of its proper divisors (528551101200).

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

158350172400 is a wasteful number, since it uses less digits than its factorization.

158350172400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 158350172400 in words is "one hundred fifty-eight billion, three hundred fifty million, one hundred seventy-two thousand, four hundred".