13003654599040 has 256 divisors, whose sum is σ = 35792256568320. Its totient is φ = 4425286017024.

The previous prime is 13003654599011. The next prime is 13003654599077. The reversal of 13003654599040 is 4099545630031.

It is a super-2 number, since 2×13003654599040² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581990109 + ... + 582012451.

It is an arithmetic number, because the mean of its divisors is an integer number (139813502220).

Almost surely, 2^{13003654599040} is an apocalyptic number.

13003654599040 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 13003654599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17896128284160).

13003654599040 is an abundant number, since it is smaller than the sum of its proper divisors (22788601969280).

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

13003654599040 is a wasteful number, since it uses less digits than its factorization.

13003654599040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23329 (or 23317 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 49.

The spelling of 13003654599040 in words is "thirteen trillion, three billion, six hundred fifty-four million, five hundred ninety-nine thousand, forty".