156226720204800 has 2016 divisors, whose sum is σ = 672895171952640. Its totient is φ = 35215500902400.

The previous prime is 156226720204783. The next prime is 156226720204811. The reversal of 156226720204800 is 8402027622651.

156226720204800 is a `hidden beast` number, since 1 + 5 + 62 + 26 + 72 + 0 + 20 + 480 + 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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 19072968705 + ... + 19072976895.

It is an arithmetic number, because the mean of its divisors is an integer number (333777367040).

Almost surely, 2^{156226720204800} is an apocalyptic number.

156226720204800 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 156226720204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336447585976320).

156226720204800 is an abundant number, since it is smaller than the sum of its proper divisors (516668451747840).

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

156226720204800 is an frugal number, since it uses more digits than its factorization.

156226720204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8321 (or 8281 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 156226720204800 in words is "one hundred fifty-six trillion, two hundred twenty-six billion, seven hundred twenty million, two hundred four thousand, eight hundred".