158076085440 has 672 divisors, whose sum is σ = 656138327040. Its totient is φ = 31899377664.

The previous prime is 158076085381. The next prime is 158076085459. The reversal of 158076085440 is 44580670851.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 158076085440.

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, 14059341 + ... + 14070579.

It is an arithmetic number, because the mean of its divisors is an integer number (976396320).

Almost surely, 2^158076085440 is an apocalyptic number.

158076085440 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 158076085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328069163520).

158076085440 is an abundant number, since it is smaller than the sum of its proper divisors (498062241600).

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

158076085440 is a wasteful number, since it uses less digits than its factorization.

158076085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11309 (or 11292 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 158076085440 in words is "one hundred fifty-eight billion, seventy-six million, eighty-five thousand, four hundred forty".