12010437389664 has 768 divisors, whose sum is σ = 41654833920000. Its totient is φ = 3364472401920.

The previous prime is 12010437389659. The next prime is 12010437389677. The reversal of 12010437389664 is 46698373401021.

12010437389664 is a `hidden beast` number, since 1 + 20 + 10 + 437 + 38 + 96 + 64 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 12010437389664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6851361012 + ... + 6851362764.

It is an arithmetic number, because the mean of its divisors is an integer number (54238065000).

Almost surely, 2^{12010437389664} is an apocalyptic number.

12010437389664 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 12010437389664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20827416960000).

12010437389664 is an abundant number, since it is smaller than the sum of its proper divisors (29644396530336).

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

12010437389664 is a wasteful number, since it uses less digits than its factorization.

12010437389664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 12010437389664 in words is "twelve trillion, ten billion, four hundred thirty-seven million, three hundred eighty-nine thousand, six hundred sixty-four".