13498198560 has 1728 divisors, whose sum is σ = 66023838720. Its totient is φ = 2554675200.

The previous prime is 13498198501. The next prime is 13498198561. The reversal of 13498198560 is 6589189431.

13498198560 is a `hidden beast` number, since 1 + 3 + 498 + 1 + 98 + 5 + 60 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13498198497 and 13498198506.

It is not an unprimeable number, because it can be changed into a prime (13498198561) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 435425745 + ... + 435425775.

It is an arithmetic number, because the mean of its divisors is an integer number (38208240).

Almost surely, 2^13498198560 is an apocalyptic number.

13498198560 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 13498198560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33011919360).

13498198560 is an abundant number, since it is smaller than the sum of its proper divisors (52525640160).

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

13498198560 is a wasteful number, since it uses less digits than its factorization.

13498198560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 13498198560 in words is "thirteen billion, four hundred ninety-eight million, one hundred ninety-eight thousand, five hundred sixty".