1357122729600 has 2304 divisors, whose sum is σ = 5922253987200. Its totient is φ = 304570368000.

The previous prime is 1357122729569. The next prime is 1357122729629. The reversal of 1357122729600 is 69272217531.

It is a happy number.

1357122729600 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 12 + 2 + 7 + 29 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 22247913570 + ... + 22247913630.

Almost surely, 2^{1357122729600} is an apocalyptic number.

1357122729600 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 1357122729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2961126993600).

1357122729600 is an abundant number, since it is smaller than the sum of its proper divisors (4565131257600).

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

1357122729600 is an equidigital number, since it uses as much as digits as its factorization.

1357122729600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 1357122729600 in words is "one trillion, three hundred fifty-seven billion, one hundred twenty-two million, seven hundred twenty-nine thousand, six hundred".