158158958400 has 672 divisors, whose sum is σ = 588131107200. Its totient is φ = 41339289600.

The previous prime is 158158958371. The next prime is 158158958417. The reversal of 158158958400 is 4859851851.

158158958400 is a `hidden beast` number, since 1 + 5 + 8 + 1 + 58 + 9 + 584 + 0 + 0 = 666.

It is a super-2 number, since 2×158158958400² (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 873806310 + ... + 873806490.

It is an arithmetic number, because the mean of its divisors is an integer number (875195100).

Almost surely, 2^158158958400 is an apocalyptic number.

158158958400 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 158158958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294065553600).

158158958400 is an abundant number, since it is smaller than the sum of its proper divisors (429972148800).

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

158158958400 is a wasteful number, since it uses less digits than its factorization.

158158958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 54.

The spelling of 158158958400 in words is "one hundred fifty-eight billion, one hundred fifty-eight million, nine hundred fifty-eight thousand, four hundred".