158089641615360 has 6720 divisors, whose sum is σ = 777540262625280. Its totient is φ = 30339508469760.

The previous prime is 158089641615349. The next prime is 158089641615407. The reversal of 158089641615360 is 63516146980851.

158089641615360 is a `hidden beast` number, since 1 + 5 + 8 + 0 + 8 + 9 + 6 + 4 + 1 + 615 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 479 ways as a sum of consecutive naturals, for example, 1244800327617 + ... + 1244800327743.

It is an arithmetic number, because the mean of its divisors is an integer number (115705396224).

Almost surely, 2^{158089641615360} is an apocalyptic number.

158089641615360 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 158089641615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388770131312640).

158089641615360 is an abundant number, since it is smaller than the sum of its proper divisors (619450621009920).

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

158089641615360 is a wasteful number, since it uses less digits than its factorization.

158089641615360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 158089641615360 in words is "one hundred fifty-eight trillion, eighty-nine billion, six hundred forty-one million, six hundred fifteen thousand, three hundred sixty".