159124993920 has 1152 divisors, whose sum is σ = 639924948000. Its totient is φ = 36203397120.

The previous prime is 159124993897. The next prime is 159124993949. The reversal of 159124993920 is 29399421951.

159124993920 is a `hidden beast` number, since 1 + 5 + 9 + 1 + 249 + 9 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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, 1787921236 + ... + 1787921324.

Almost surely, 2^159124993920 is an apocalyptic number.

159124993920 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 159124993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319962474000).

159124993920 is an abundant number, since it is smaller than the sum of its proper divisors (480799954080).

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

159124993920 is a wasteful number, since it uses less digits than its factorization.

159124993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 159124993920 in words is "one hundred fifty-nine billion, one hundred twenty-four million, nine hundred ninety-three thousand, nine hundred twenty".