11925964930464 has 960 divisors, whose sum is σ = 42091020195840. Its totient is φ = 3279436554240.

The previous prime is 11925964930403. The next prime is 11925964930489. The reversal of 11925964930464 is 46403946952911.

11925964930464 is a `hidden beast` number, since 1 + 1 + 9 + 2 + 596 + 4 + 9 + 30 + 4 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 696723634 + ... + 696740750.

It is an arithmetic number, because the mean of its divisors is an integer number (43844812704).

Almost surely, 2^{11925964930464} 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 11925964930464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21045510097920).

11925964930464 is an abundant number, since it is smaller than the sum of its proper divisors (30165055265376).

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

11925964930464 is a wasteful number, since it uses less digits than its factorization.

11925964930464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17235 (or 17218 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 11925964930464 in words is "eleven trillion, nine hundred twenty-five billion, nine hundred sixty-four million, nine hundred thirty thousand, four hundred sixty-four".