158355712800 has 1008 divisors, whose sum is σ = 631167102720. Its totient is φ = 38631168000.

The previous prime is 158355712733. The next prime is 158355712807. The reversal of 158355712800 is 8217553851.

158355712800 is a `hidden beast` number, since 1 + 5 + 8 + 3 + 557 + 12 + 80 + 0 = 666.

158355712800 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (158355712807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 343504570 + ... + 343505030.

It is an arithmetic number, because the mean of its divisors is an integer number (626157840).

Almost surely, 2^158355712800 is an apocalyptic number.

158355712800 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 158355712800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315583551360).

158355712800 is an abundant number, since it is smaller than the sum of its proper divisors (472811389920).

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

158355712800 is a wasteful number, since it uses less digits than its factorization.

158355712800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 158355712800 in words is "one hundred fifty-eight billion, three hundred fifty-five million, seven hundred twelve thousand, eight hundred".