19125105264 has 160 divisors (see below), whose sum is σ = 58357247040. Its totient is φ = 5976096768.

The previous prime is 19125105257. The next prime is 19125105271. The reversal of 19125105264 is 46250152191.

19125105264 is a `hidden beast` number, since 1 + 9 + 125 + 1 + 0 + 526 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (19125105257) and next prime (19125105271).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 1882342 + ... + 1892474.

It is an arithmetic number, because the mean of its divisors is an integer number (364732794).

Almost surely, 2^19125105264 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 19125105264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29178623520).

19125105264 is an abundant number, since it is smaller than the sum of its proper divisors (39232141776).

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

19125105264 is a wasteful number, since it uses less digits than its factorization.

19125105264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10424 (or 10412 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 19125105264 in words is "nineteen billion, one hundred twenty-five million, one hundred five thousand, two hundred sixty-four".