13419721798560 has 1440 divisors, whose sum is σ = 61121723826240. Its totient is φ = 2741166489600.

The previous prime is 13419721798547. The next prime is 13419721798597. The reversal of 13419721798560 is 6589712791431.

13419721798560 is a `hidden beast` number, since 1 + 3 + 41 + 9 + 7 + 21 + 7 + 9 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 412124680 + ... + 412157240.

It is an arithmetic number, because the mean of its divisors is an integer number (42445641546).

It is a 2-persistent number, because it is pandigital, and so is 2⋅13419721798560 = 26839443597120, but 3⋅13419721798560 = 40259165395680 is not.

Almost surely, 2^{13419721798560} is an apocalyptic number.

13419721798560 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 13419721798560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30560861913120).

13419721798560 is an abundant number, since it is smaller than the sum of its proper divisors (47702002027680).

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

13419721798560 is a wasteful number, since it uses less digits than its factorization.

13419721798560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32672 (or 32648 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 13419721798560 in words is "thirteen trillion, four hundred nineteen billion, seven hundred twenty-one million, seven hundred ninety-eight thousand, five hundred sixty".