159457087319040 has 264 divisors, whose sum is σ = 631445321314080. Its totient is φ = 36447334170624.

The previous prime is 159457087319039. The next prime is 159457087319071. The reversal of 159457087319040 is 40913780754951.

159457087319040 is a `hidden beast` number, since 1 + 5 + 9 + 4 + 570 + 8 + 7 + 3 + 19 + 0 + 40 = 666.

It is a super-3 number, since 3×159457087319040³ (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 23 ways as a sum of consecutive naturals, for example, 246851745 + ... + 247496864.

Almost surely, 2^{159457087319040} is an apocalyptic number.

159457087319040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

159457087319040 is an abundant number, since it is smaller than the sum of its proper divisors (471988233995040).

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

159457087319040 is a wasteful number, since it uses less digits than its factorization.

159457087319040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494348647 (or 494348626 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 159457087319040 in words is "one hundred fifty-nine trillion, four hundred fifty-seven billion, eighty-seven million, three hundred nineteen thousand, forty".