1357498820700 has 1008 divisors, whose sum is σ = 4952612512512. Its totient is φ = 320060160000.

The previous prime is 1357498820621. The next prime is 1357498820737. The reversal of 1357498820700 is 70288947531.

It is a happy number.

1357498820700 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 498 + 82 + 0 + 70 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 6433643595 + ... + 6433643805.

It is an arithmetic number, because the mean of its divisors is an integer number (4913306064).

Almost surely, 2^{1357498820700} is an apocalyptic number.

1357498820700 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 1357498820700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476306256256).

1357498820700 is an abundant number, since it is smaller than the sum of its proper divisors (3595113691812).

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

1357498820700 is a wasteful number, since it uses less digits than its factorization.

1357498820700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 1357498820700 in words is "one trillion, three hundred fifty-seven billion, four hundred ninety-eight million, eight hundred twenty thousand, seven hundred".