157829038080 has 640 divisors, whose sum is σ = 599147366400. Its totient is φ = 34728837120.

The previous prime is 157829038079. The next prime is 157829038091. The reversal of 157829038080 is 80830928751.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×157829038080² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2587361250 + ... + 2587361310.

It is an arithmetic number, because the mean of its divisors is an integer number (936167760).

Almost surely, 2^157829038080 is an apocalyptic number.

157829038080 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 157829038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299573683200).

157829038080 is an abundant number, since it is smaller than the sum of its proper divisors (441318328320).

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

157829038080 is an frugal number, since it uses more digits than its factorization.

157829038080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 157829038080 in words is "one hundred fifty-seven billion, eight hundred twenty-nine million, thirty-eight thousand, eighty".