1353769473600 has 252 divisors, whose sum is σ = 4817147735764. Its totient is φ = 360590192640.

The previous prime is 1353769473571. The next prime is 1353769473611. The reversal of 1353769473600 is 63749673531.

It is a happy number.

1353769473600 is a `hidden beast` number, since 1 + 3 + 53 + 7 + 69 + 473 + 60 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 146425614336 + 1207343859264 = 382656^2 + 1098792^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12575202 + ... + 12682398.

Almost surely, 2^{1353769473600} is an apocalyptic number.

1353769473600 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 1353769473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408573867882).

1353769473600 is an abundant number, since it is smaller than the sum of its proper divisors (3463378262164).

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

1353769473600 is a wasteful number, since it uses less digits than its factorization.

1353769473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108102 (or 108084 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 54.

The spelling of 1353769473600 in words is "one trillion, three hundred fifty-three billion, seven hundred sixty-nine million, four hundred seventy-three thousand, six hundred".