156959449920 has 2016 divisors, whose sum is σ = 741366259200. Its totient is φ = 30976598016.

The previous prime is 156959449897. The next prime is 156959449921. The reversal of 156959449920 is 29944959651.

156959449920 is a `hidden beast` number, since 1 + 56 + 9 + 5 + 94 + 499 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156959449921) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 1986828441 + ... + 1986828519.

It is an arithmetic number, because the mean of its divisors is an integer number (367741200).

Almost surely, 2^156959449920 is an apocalyptic number.

156959449920 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 156959449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370683129600).

156959449920 is an abundant number, since it is smaller than the sum of its proper divisors (584406809280).

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

156959449920 is a wasteful number, since it uses less digits than its factorization.

156959449920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 63.

The spelling of 156959449920 in words is "one hundred fifty-six billion, nine hundred fifty-nine million, four hundred forty-nine thousand, nine hundred twenty".