13917775872 has 768 divisors, whose sum is σ = 52130856960. Its totient is φ = 3185049600.

The previous prime is 13917775829. The next prime is 13917775891. The reversal of 13917775872 is 27857771931.

It is a tau number, because it is divible by the number of its divisors (768).

Its product of digits (5186160) is a multiple of the sum of its prime divisors (140).

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, 190654428 + ... + 190654500.

It is an arithmetic number, because the mean of its divisors is an integer number (67878720).

Almost surely, 2^13917775872 is an apocalyptic number.

13917775872 is a gapful number since it is divisible by the number (12) 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 13917775872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26065428480).

13917775872 is an abundant number, since it is smaller than the sum of its proper divisors (38213081088).

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

13917775872 is a wasteful number, since it uses less digits than its factorization.

13917775872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 140 counting only the distinct ones).

The product of its digits is 5186160, while the sum is 57.

The spelling of 13917775872 in words is "thirteen billion, nine hundred seventeen million, seven hundred seventy-five thousand, eight hundred seventy-two".