157829726208 has 512 divisors, whose sum is σ = 543573504000. Its totient is φ = 39526072320.

The previous prime is 157829726177. The next prime is 157829726273. The reversal of 157829726208 is 802627928751.

It is a tau number, because it is divible by the number of its divisors (512).

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 31 ways as a sum of consecutive naturals, for example, 219512473 + ... + 219513191.

It is an arithmetic number, because the mean of its divisors is an integer number (1061667000).

Almost surely, 2^157829726208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157829726208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271786752000).

157829726208 is an abundant number, since it is smaller than the sum of its proper divisors (385743777792).

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

157829726208 is an equidigital number, since it uses as much as digits as its factorization.

157829726208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 57.

The spelling of 157829726208 in words is "one hundred fifty-seven billion, eight hundred twenty-nine million, seven hundred twenty-six thousand, two hundred eight".