1357211417600 has 132 divisors (see below), whose sum is σ = 3380198539608. Its totient is φ = 540309504000.

The previous prime is 1357211417567. The next prime is 1357211417609. The reversal of 1357211417600 is 67141127531.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1357211417609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5275970 + ... + 5527230.

It is an arithmetic number, because the mean of its divisors is an integer number (25607564694).

Almost surely, 2^{1357211417600} is an apocalyptic number.

1357211417600 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 1357211417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690099269804).

1357211417600 is an abundant number, since it is smaller than the sum of its proper divisors (2022987122008).

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

1357211417600 is a wasteful number, since it uses less digits than its factorization.

1357211417600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251502 (or 251479 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The spelling of 1357211417600 in words is "one trillion, three hundred fifty-seven billion, two hundred eleven million, four hundred seventeen thousand, six hundred".