159264099072 has 432 divisors, whose sum is σ = 538878770080. Its totient is φ = 46114209792.

The previous prime is 159264099047. The next prime is 159264099097. The reversal of 159264099072 is 270990462951.

159264099072 is a `hidden beast` number, since 1 + 592 + 6 + 40 + 9 + 9 + 0 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (159264099047) and next prime (159264099097).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×159264099072² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25965318 + ... + 25971450.

Almost surely, 2^159264099072 is an apocalyptic number.

159264099072 is a gapful number since it is divisible by the number (12) 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 159264099072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269439385040).

159264099072 is an abundant number, since it is smaller than the sum of its proper divisors (379614671008).

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

159264099072 is a wasteful number, since it uses less digits than its factorization.

159264099072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6205 (or 6168 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 159264099072 in words is "one hundred fifty-nine billion, two hundred sixty-four million, ninety-nine thousand, seventy-two".