159859220400 has 360 divisors, whose sum is σ = 611442000624. Its totient is φ = 38353305600.

The previous prime is 159859220393. The next prime is 159859220431. The reversal of 159859220400 is 4022958951.

It is a happy number.

159859220400 is a `hidden beast` number, since 1 + 59 + 8 + 592 + 2 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3820392 + ... + 3862008.

Almost surely, 2^159859220400 is an apocalyptic number.

159859220400 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 159859220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305721000312).

159859220400 is an abundant number, since it is smaller than the sum of its proper divisors (451582780224).

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

159859220400 is a wasteful number, since it uses less digits than its factorization.

159859220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41749 (or 41735 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 159859220400 in words is "one hundred fifty-nine billion, eight hundred fifty-nine million, two hundred twenty thousand, four hundred".