157809593040 has 160 divisors (see below), whose sum is σ = 533907542016. Its totient is φ = 38240801280.

The previous prime is 157809593027. The next prime is 157809593101. The reversal of 157809593040 is 40395908751.

157809593040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7019097 + ... + 7041543.

Almost surely, 2^157809593040 is an apocalyptic number.

157809593040 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 157809593040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266953771008).

157809593040 is an abundant number, since it is smaller than the sum of its proper divisors (376097948976).

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

157809593040 is a wasteful number, since it uses less digits than its factorization.

157809593040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25137 (or 25131 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The spelling of 157809593040 in words is "one hundred fifty-seven billion, eight hundred nine million, five hundred ninety-three thousand, forty".