1353365760540 has 384 divisors, whose sum is σ = 4112707737600. Its totient is φ = 331311185920.

The previous prime is 1353365760463. The next prime is 1353365760599. The reversal of 1353365760540 is 450675633531.

It is a self number, because there is not a number n which added to its sum of digits gives 1353365760540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3769820881 + ... + 3769821239.

It is an arithmetic number, because the mean of its divisors is an integer number (10710176400).

Almost surely, 2^{1353365760540} is an apocalyptic number.

1353365760540 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 1353365760540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056353868800).

1353365760540 is an abundant number, since it is smaller than the sum of its proper divisors (2759341977060).

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

1353365760540 is a wasteful number, since it uses less digits than its factorization.

1353365760540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 48.

The spelling of 1353365760540 in words is "one trillion, three hundred fifty-three billion, three hundred sixty-five million, seven hundred sixty thousand, five hundred forty".