19766052864 has 480 divisors, whose sum is σ = 64358854560. Its totient is φ = 6019743744.

The previous prime is 19766052863. The next prime is 19766052871. The reversal of 19766052864 is 46825066791.

19766052864 is a `hidden beast` number, since 1 + 9 + 7 + 6 + 605 + 28 + 6 + 4 = 666.

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 19766052864.

It is not an unprimeable number, because it can be changed into a prime (19766052863) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 121264047 + ... + 121264209.

It is an arithmetic number, because the mean of its divisors is an integer number (134080947).

Almost surely, 2^19766052864 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 19766052864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32179427280).

19766052864 is an abundant number, since it is smaller than the sum of its proper divisors (44592801696).

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

19766052864 is a wasteful number, since it uses less digits than its factorization.

19766052864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

It can be divided in two parts, 19766052 and 864, that added together give a square (19766916 = 4446²).

The spelling of 19766052864 in words is "nineteen billion, seven hundred sixty-six million, fifty-two thousand, eight hundred sixty-four".