13547819860608 has 256 divisors, whose sum is σ = 39512188800000. Its totient is φ = 4078830673920.

The previous prime is 13547819860567. The next prime is 13547819860633. The reversal of 13547819860608 is 80606891874531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2150785843 + ... + 2150792141.

It is an arithmetic number, because the mean of its divisors is an integer number (154344487500).

Almost surely, 2^{13547819860608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13547819860608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19756094400000).

13547819860608 is an abundant number, since it is smaller than the sum of its proper divisors (25964368939392).

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

13547819860608 is a wasteful number, since it uses less digits than its factorization.

13547819860608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9543 (or 9531 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 66.

The spelling of 13547819860608 in words is "thirteen trillion, five hundred forty-seven billion, eight hundred nineteen million, eight hundred sixty thousand, six hundred eight".