159893425440 has 768 divisors, whose sum is σ = 651442176000. Its totient is φ = 35876597760.

The previous prime is 159893425343. The next prime is 159893425441. The reversal of 159893425440 is 44524398951.

It is a happy number.

159893425440 is a `hidden beast` number, since 1 + 5 + 9 + 8 + 93 + 4 + 2 + 544 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (159893425441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 590012505 + ... + 590012775.

It is an arithmetic number, because the mean of its divisors is an integer number (848232000).

Almost surely, 2^159893425440 is an apocalyptic number.

159893425440 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 159893425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325721088000).

159893425440 is an abundant number, since it is smaller than the sum of its proper divisors (491548750560).

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

159893425440 is a wasteful number, since it uses less digits than its factorization.

159893425440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 159893425440 in words is "one hundred fifty-nine billion, eight hundred ninety-three million, four hundred twenty-five thousand, four hundred forty".