13907568843520 has 576 divisors, whose sum is σ = 38300182373376. Its totient is φ = 4789391523840.

The previous prime is 13907568843457. The next prime is 13907568843541. The reversal of 13907568843520 is 2534886570931.

It is a happy number.

It is a super-2 number, since 2×13907568843520² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17671624567 + ... + 17671625353.

It is an arithmetic number, because the mean of its divisors is an integer number (66493372176).

It is a 1-persistent number, because it is pandigital, but 2⋅13907568843520 = 27815137687040 is not.

Almost surely, 2^{13907568843520} is an apocalyptic number.

13907568843520 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 13907568843520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19150091186688).

13907568843520 is an abundant number, since it is smaller than the sum of its proper divisors (24392613529856).

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

13907568843520 is a wasteful number, since it uses less digits than its factorization.

13907568843520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 61.

The spelling of 13907568843520 in words is "thirteen trillion, nine hundred seven billion, five hundred sixty-eight million, eight hundred forty-three thousand, five hundred twenty".