159264004900 has 288 divisors, whose sum is σ = 470971855872. Its totient is φ = 45136396800.

The previous prime is 159264004897. The next prime is 159264004901. The reversal of 159264004900 is 9400462951.

It is not an unprimeable number, because it can be changed into a prime (159264004901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6694827 + ... + 6718573.

It is an arithmetic number, because the mean of its divisors is an integer number (1635318944).

Almost surely, 2^159264004900 is an apocalyptic number.

159264004900 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 159264004900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235485927936).

159264004900 is an abundant number, since it is smaller than the sum of its proper divisors (311707850972).

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

159264004900 is a wasteful number, since it uses less digits than its factorization.

159264004900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23859 (or 23852 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 159264004900 in words is "one hundred fifty-nine billion, two hundred sixty-four million, four thousand, nine hundred".