13919775264 has 96 divisors (see below), whose sum is σ = 40635000000. Its totient is φ = 4635850752.

The previous prime is 13919775251. The next prime is 13919775277. The reversal of 13919775264 is 46257791931.

13919775264 is a `hidden beast` number, since 1 + 39 + 19 + 77 + 526 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13919775251) and next prime (13919775277).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13919775264.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1072687 + ... + 1085585.

It is an arithmetic number, because the mean of its divisors is an integer number (423281250).

Almost surely, 2^13919775264 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 13919775264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20317500000).

13919775264 is an abundant number, since it is smaller than the sum of its proper divisors (26715224736).

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

13919775264 is a wasteful number, since it uses less digits than its factorization.

13919775264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14167 (or 14153 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The spelling of 13919775264 in words is "thirteen billion, nine hundred nineteen million, seven hundred seventy-five thousand, two hundred sixty-four".