159257663040 has 224 divisors, whose sum is σ = 578118207744. Its totient is φ = 36386611200.

The previous prime is 159257663029. The next prime is 159257663063. The reversal of 159257663040 is 40366752951.

It is a Cunningham number, because it is equal to 399071²-1.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27932190 + ... + 27937890.

It is an arithmetic number, because the mean of its divisors is an integer number (2580884856).

Almost surely, 2^159257663040 is an apocalyptic number.

159257663040 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 159257663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289059103872).

159257663040 is an abundant number, since it is smaller than the sum of its proper divisors (418860544704).

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

159257663040 is a wasteful number, since it uses less digits than its factorization.

159257663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9885 (or 9875 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 159257663040 in words is "one hundred fifty-nine billion, two hundred fifty-seven million, six hundred sixty-three thousand, forty".