157795319808 has 768 divisors, whose sum is σ = 572513760000. Its totient is φ = 42424860672.

The previous prime is 157795319753. The next prime is 157795319819. The reversal of 157795319808 is 808913597751.

157795319808 is a `hidden beast` number, since 1 + 5 + 7 + 7 + 9 + 531 + 98 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×157795319808³ (a number of 35 digits) contains 333 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 1059028918 + ... + 1059029066.

It is an arithmetic number, because the mean of its divisors is an integer number (745460625).

Almost surely, 2^157795319808 is an apocalyptic number.

157795319808 is a gapful number since it is divisible by the number (18) 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 157795319808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286256880000).

157795319808 is an abundant number, since it is smaller than the sum of its proper divisors (414718440192).

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

157795319808 is an frugal number, since it uses more digits than its factorization.

157795319808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 63.

The spelling of 157795319808 in words is "one hundred fifty-seven billion, seven hundred ninety-five million, three hundred nineteen thousand, eight hundred eight".