13001936285520 has 2880 divisors, whose sum is σ = 60610538177280. Its totient is φ = 2559896027136.

The previous prime is 13001936285489. The next prime is 13001936285543. The reversal of 13001936285520 is 2558263910031.

13001936285520 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 1 + 93 + 6 + 2 + 8 + 552 + 0 = 666.

It is a super-2 number, since 2×13001936285520² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 17175608982 + ... + 17175609738.

It is an arithmetic number, because the mean of its divisors is an integer number (21045325756).

Almost surely, 2^{13001936285520} is an apocalyptic number.

13001936285520 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 13001936285520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30305269088640).

13001936285520 is an abundant number, since it is smaller than the sum of its proper divisors (47608601891760).

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

13001936285520 is a wasteful number, since it uses less digits than its factorization.

13001936285520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 13001936285520 in words is "thirteen trillion, one billion, nine hundred thirty-six million, two hundred eighty-five thousand, five hundred twenty".