1353038993280 has 1152 divisors, whose sum is σ = 5275103914080. Its totient is φ = 317597220864.

The previous prime is 1353038993147. The next prime is 1353038993281. The reversal of 1353038993280 is 823998303531.

It is a happy number.

1353038993280 is a `hidden beast` number, since 1 + 3 + 5 + 303 + 8 + 9 + 9 + 328 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353038993281) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6868218142 + ... + 6868218338.

Almost surely, 2^{1353038993280} is an apocalyptic number.

1353038993280 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 1353038993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637551957040).

1353038993280 is an abundant number, since it is smaller than the sum of its proper divisors (3922064920800).

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

1353038993280 is a wasteful number, since it uses less digits than its factorization.

1353038993280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 1353038993280 in words is "one trillion, three hundred fifty-three billion, thirty-eight million, nine hundred ninety-three thousand, two hundred eighty".