1357935226560 has 896 divisors, whose sum is σ = 5448916915200. Its totient is φ = 315334656000.

The previous prime is 1357935226559. The next prime is 1357935226573. The reversal of 1357935226560 is 656225397531.

1357935226560 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 9 + 3 + 52 + 26 + 560 = 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 = 1357935226497 and 1357935226506.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 361055080 + ... + 361058840.

Almost surely, 2^{1357935226560} is an apocalyptic number.

1357935226560 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 1357935226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724458457600).

1357935226560 is an abundant number, since it is smaller than the sum of its proper divisors (4090981688640).

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

1357935226560 is a wasteful number, since it uses less digits than its factorization.

1357935226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958 (or 3942 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 54.

The spelling of 1357935226560 in words is "one trillion, three hundred fifty-seven billion, nine hundred thirty-five million, two hundred twenty-six thousand, five hundred sixty".