13057959383040 has 2496 divisors, whose sum is σ = 54358338263040. Its totient is φ = 2633115893760.

The previous prime is 13057959383011. The next prime is 13057959383087. The reversal of 13057959383040 is 4038395975031.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72949493671 + ... + 72949493849.

Almost surely, 2^{13057959383040} is an apocalyptic number.

13057959383040 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 13057959383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27179169131520).

13057959383040 is an abundant number, since it is smaller than the sum of its proper divisors (41300378880000).

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

13057959383040 is a wasteful number, since it uses less digits than its factorization.

13057959383040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 57.

The spelling of 13057959383040 in words is "thirteen trillion, fifty-seven billion, nine hundred fifty-nine million, three hundred eighty-three thousand, forty".