1353542522640 has 480 divisors, whose sum is σ = 5284844248320. Its totient is φ = 280516177920.

The previous prime is 1353542522611. The next prime is 1353542522699. The reversal of 1353542522640 is 462252453531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1353542522592 and 1353542522601.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79067362 + ... + 79084478.

It is an arithmetic number, because the mean of its divisors is an integer number (11010092184).

Almost surely, 2^{1353542522640} is an apocalyptic number.

1353542522640 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 1353542522640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642422124160).

1353542522640 is an abundant number, since it is smaller than the sum of its proper divisors (3931301725680).

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

1353542522640 is a wasteful number, since it uses less digits than its factorization.

1353542522640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17551 (or 17534 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 1353542522640 in words is "one trillion, three hundred fifty-three billion, five hundred forty-two million, five hundred twenty-two thousand, six hundred forty".