13498541760 has 448 divisors, whose sum is σ = 49245926400. Its totient is φ = 3100753920.

The previous prime is 13498541747. The next prime is 13498541789. The reversal of 13498541760 is 6714589431.

It is a super-3 number, since 3×13498541760³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 36188934 + ... + 36189306.

Almost surely, 2^13498541760 is an apocalyptic number.

13498541760 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 13498541760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24622963200).

13498541760 is an abundant number, since it is smaller than the sum of its proper divisors (35747384640).

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

13498541760 is a wasteful number, since it uses less digits than its factorization.

13498541760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 13498541760 in words is "thirteen billion, four hundred ninety-eight million, five hundred forty-one thousand, seven hundred sixty".