2357129134080 has 1200 divisors, whose sum is σ = 9975327538176. Its totient is φ = 521074114560.

The previous prime is 2357129134051. The next prime is 2357129134097. The reversal of 2357129134080 is 804319217532.

It is a happy number.

2357129134080 is a `hidden beast` number, since 2 + 3 + 571 + 29 + 13 + 40 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1439907022 + ... + 1439908658.

Almost surely, 2^{2357129134080} is an apocalyptic number.

2357129134080 is a gapful number since it is divisible by the number (20) 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 2357129134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4987663769088).

2357129134080 is an abundant number, since it is smaller than the sum of its proper divisors (7618198404096).

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

2357129134080 is an equidigital number, since it uses as much as digits as its factorization.

2357129134080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 2357129134080 in words is "two trillion, three hundred fifty-seven billion, one hundred twenty-nine million, one hundred thirty-four thousand, eighty".