1357120396800 has 1680 divisors, whose sum is σ = 5856543728640. Its totient is φ = 305107845120.

The previous prime is 1357120396787. The next prime is 1357120396817. The reversal of 1357120396800 is 86930217531.

1357120396800 is a `hidden beast` number, since 1 + 357 + 1 + 203 + 96 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5160153469 + ... + 5160153731.

Almost surely, 2^{1357120396800} is an apocalyptic number.

1357120396800 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 1357120396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928271864320).

1357120396800 is an abundant number, since it is smaller than the sum of its proper divisors (4499423331840).

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

1357120396800 is an frugal number, since it uses more digits than its factorization.

1357120396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 1357120396800 in words is "one trillion, three hundred fifty-seven billion, one hundred twenty million, three hundred ninety-six thousand, eight hundred".