12519771264 has 1152 divisors, whose sum is σ = 51963206400. Its totient is φ = 2937876480.

The previous prime is 12519771169. The next prime is 12519771281. The reversal of 12519771264 is 46217791521.

12519771264 is a `hidden beast` number, since 1 + 2 + 519 + 7 + 7 + 126 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 266378089 + ... + 266378135.

It is an arithmetic number, because the mean of its divisors is an integer number (45106950).

Almost surely, 2^12519771264 is an apocalyptic number.

12519771264 is a gapful number since it is divisible by the number (14) 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 12519771264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25981603200).

12519771264 is an abundant number, since it is smaller than the sum of its proper divisors (39443435136).

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

12519771264 is a wasteful number, since it uses less digits than its factorization.

12519771264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 83 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The spelling of 12519771264 in words is "twelve billion, five hundred nineteen million, seven hundred seventy-one thousand, two hundred sixty-four".