1357207289856 has 720 divisors, whose sum is σ = 4602940392960. Its totient is φ = 380931932160.

The previous prime is 1357207289791. The next prime is 1357207289873. The reversal of 1357207289856 is 6589827027531.

1357207289856 is a `hidden beast` number, since 1 + 3 + 572 + 0 + 7 + 2 + 8 + 9 + 8 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1357207289793 and 1357207289802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1448459820 + ... + 1448460756.

It is an arithmetic number, because the mean of its divisors is an integer number (6392972768).

Almost surely, 2^{1357207289856} is an apocalyptic number.

1357207289856 is a gapful number since it is divisible by the number (16) 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 1357207289856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301470196480).

1357207289856 is an abundant number, since it is smaller than the sum of its proper divisors (3245733103104).

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

1357207289856 is a wasteful number, since it uses less digits than its factorization.

1357207289856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 1357207289856 in words is "one trillion, three hundred fifty-seven billion, two hundred seven million, two hundred eighty-nine thousand, eight hundred fifty-six".