1353617574900 has 216 divisors, whose sum is σ = 4080549973920. Its totient is φ = 346024949760.

The previous prime is 1353617574889. The next prime is 1353617574913. The reversal of 1353617574900 is 94757163531.

It is a happy number.

It is a super-2 number, since 2×1353617574900² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1385483212 + ... + 1385484188.

Almost surely, 2^{1353617574900} is an apocalyptic number.

1353617574900 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 1353617574900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040274986960).

1353617574900 is an abundant number, since it is smaller than the sum of its proper divisors (2726932399020).

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

1353617574900 is a wasteful number, since it uses less digits than its factorization.

1353617574900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 51.

The spelling of 1353617574900 in words is "one trillion, three hundred fifty-three billion, six hundred seventeen million, five hundred seventy-four thousand, nine hundred".