156825668160 has 1008 divisors, whose sum is σ = 660224597760. Its totient is φ = 35324190720.

The previous prime is 156825668159. The next prime is 156825668171. The reversal of 156825668160 is 61866528651.

156825668160 is a `hidden beast` number, since 1 + 5 + 68 + 2 + 566 + 8 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a junction number, because it is equal to n+sod(n) for n = 156825668097 and 156825668106.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 301008700 + ... + 301009220.

It is an arithmetic number, because the mean of its divisors is an integer number (654984720).

Almost surely, 2^156825668160 is an apocalyptic number.

156825668160 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 156825668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330112298880).

156825668160 is an abundant number, since it is smaller than the sum of its proper divisors (503398929600).

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

156825668160 is an equidigital number, since it uses as much as digits as its factorization.

156825668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 156825668160 in words is "one hundred fifty-six billion, eight hundred twenty-five million, six hundred sixty-eight thousand, one hundred sixty".