159071279099040 has 6912 divisors, whose sum is σ = 787035045888000. Its totient is φ = 29576022220800.

The previous prime is 159071279099039. The next prime is 159071279099063. The reversal of 159071279099040 is 40990972170951.

It is a happy number.

It is a super-3 number, since 3×159071279099040³ (a number of 44 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 1144397691291 + ... + 1144397691429.

It is an arithmetic number, because the mean of its divisors is an integer number (113865024000).

Almost surely, 2^{159071279099040} is an apocalyptic number.

159071279099040 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 159071279099040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393517522944000).

159071279099040 is an abundant number, since it is smaller than the sum of its proper divisors (627963766788960).

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

159071279099040 is a wasteful number, since it uses less digits than its factorization.

159071279099040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 12859560, while the sum is 63.

The spelling of 159071279099040 in words is "one hundred fifty-nine trillion, seventy-one billion, two hundred seventy-nine million, ninety-nine thousand, forty".