13545198576 has 540 divisors, whose sum is σ = 49200022872. Its totient is φ = 3464487936.

The previous prime is 13545198551. The next prime is 13545198607. The reversal of 13545198576 is 67589154531.

13545198576 is a `hidden beast` number, since 1 + 3 + 54 + 5 + 19 + 8 + 576 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 44121015 + ... + 44121321.

Almost surely, 2^13545198576 is an apocalyptic number.

13545198576 is a gapful number since it is divisible by the number (16) 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 13545198576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24600011436).

13545198576 is an abundant number, since it is smaller than the sum of its proper divisors (35654824296).

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

13545198576 is a wasteful number, since it uses less digits than its factorization.

13545198576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 369 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The spelling of 13545198576 in words is "thirteen billion, five hundred forty-five million, one hundred ninety-eight thousand, five hundred seventy-six".