158255459942400 has 2160 divisors, whose sum is σ = 614956271529600. Its totient is φ = 40292151459840.

The previous prime is 158255459942389. The next prime is 158255459942471. The reversal of 158255459942400 is 4249954552851.

It is a happy number.

158255459942400 is a `hidden beast` number, since 1 + 5 + 8 + 2 + 5 + 545 + 9 + 9 + 42 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×158255459942400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 314623180549 + ... + 314623181051.

It is an arithmetic number, because the mean of its divisors is an integer number (284701977560).

Almost surely, 2^{158255459942400} is an apocalyptic number.

158255459942400 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 158255459942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307478135764800).

158255459942400 is an abundant number, since it is smaller than the sum of its proper divisors (456700811587200).

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

158255459942400 is an equidigital number, since it uses as much as digits as its factorization.

158255459942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 103680000, while the sum is 63.

The spelling of 158255459942400 in words is "one hundred fifty-eight trillion, two hundred fifty-five billion, four hundred fifty-nine million, nine hundred forty-two thousand, four hundred".