157735504080 has 1080 divisors, whose sum is σ = 691963702560. Its totient is φ = 31832478720.

The previous prime is 157735504067. The next prime is 157735504117. The reversal of 157735504080 is 80405537751.

It is a happy number.

157735504080 is a `hidden beast` number, since 1 + 57 + 7 + 3 + 550 + 40 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1900427719 + ... + 1900427801.

It is an arithmetic number, because the mean of its divisors is an integer number (640707132).

Almost surely, 2^157735504080 is an apocalyptic number.

157735504080 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 157735504080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345981851280).

157735504080 is an abundant number, since it is smaller than the sum of its proper divisors (534228198480).

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

157735504080 is a wasteful number, since it uses less digits than its factorization.

157735504080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 157735504080 in words is "one hundred fifty-seven billion, seven hundred thirty-five million, five hundred four thousand, eighty".