1357939365120 has 864 divisors, whose sum is σ = 5375771541504. Its totient is φ = 326069452800.

The previous prime is 1357939365061. The next prime is 1357939365131. The reversal of 1357939365120 is 215639397531.

1357939365120 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 93 + 9 + 36 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×1357939365120² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165780225 + ... + 165788415.

Almost surely, 2^{1357939365120} is an apocalyptic number.

1357939365120 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 1357939365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687885770752).

1357939365120 is an abundant number, since it is smaller than the sum of its proper divisors (4017832176384).

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

1357939365120 is an equidigital number, since it uses as much as digits as its factorization.

1357939365120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8281 (or 8255 counting only the distinct ones).

The product of its (nonzero) digits is 4592700, while the sum is 54.

The spelling of 1357939365120 in words is "one trillion, three hundred fifty-seven billion, nine hundred thirty-nine million, three hundred sixty-five thousand, one hundred twenty".