1357857423360 has 1216 divisors, whose sum is σ = 5336151143040. Its totient is φ = 326149079040.

The previous prime is 1357857423259. The next prime is 1357857423367. The reversal of 1357857423360 is 633247587531.

1357857423360 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 8 + 574 + 2 + 3 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1357857423297 and 1357857423306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1357857423367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22259957730 + ... + 22259957790.

It is an arithmetic number, because the mean of its divisors is an integer number (4388282190).

Almost surely, 2^{1357857423360} is an apocalyptic number.

1357857423360 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 1357857423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668075571520).

1357857423360 is an abundant number, since it is smaller than the sum of its proper divisors (3978293719680).

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

1357857423360 is an frugal number, since it uses more digits than its factorization.

1357857423360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 1357857423360 in words is "one trillion, three hundred fifty-seven billion, eight hundred fifty-seven million, four hundred twenty-three thousand, three hundred sixty".