159232921600 has 351 divisors, whose sum is σ = 418665706563. Its totient is φ = 60066693120.

The previous prime is 159232921537. The next prime is 159232921663. The reversal of 159232921600 is 6129232951.

The square root of 159232921600 is 399040.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (159232921537) and next prime (159232921663).

It can be written as a sum of positive squares in 4 ways, for example, as 2188742656 + 157044178944 = 46784^2 + 396288^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3703091179 + ... + 3703091221.

Almost surely, 2^159232921600 is an apocalyptic number.

159232921600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

159232921600 is the 399040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159232921600

159232921600 is an abundant number, since it is smaller than the sum of its proper divisors (259432784963).

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

159232921600 is an frugal number, since it uses more digits than its factorization.

159232921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The spelling of 159232921600 in words is "one hundred fifty-nine billion, two hundred thirty-two million, nine hundred twenty-one thousand, six hundred".