159850187078400 has 1728 divisors, whose sum is σ = 730558330163200. Its totient is φ = 33299454689280.

The previous prime is 159850187078371. The next prime is 159850187078419. The reversal of 159850187078400 is 4870781058951.

159850187078400 is a `hidden beast` number, since 1 + 5 + 9 + 8 + 501 + 87 + 0 + 7 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 1242194862 + ... + 1242323538.

Almost surely, 2^{159850187078400} is an apocalyptic number.

159850187078400 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 159850187078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365279165081600).

159850187078400 is an abundant number, since it is smaller than the sum of its proper divisors (570708143084800).

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

159850187078400 is a wasteful number, since it uses less digits than its factorization.

159850187078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128811 (or 128786 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 63.

The spelling of 159850187078400 in words is "one hundred fifty-nine trillion, eight hundred fifty billion, one hundred eighty-seven million, seventy-eight thousand, four hundred".