12762486000 has 480 divisors, whose sum is σ = 49791456000. Its totient is φ = 3019968000.

The previous prime is 12762485987. The next prime is 12762486001. The reversal of 12762486000 is 68426721.

12762486000 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 2 + 48 + 600 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12762486001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8513251 + ... + 8514749.

It is an arithmetic number, because the mean of its divisors is an integer number (103732200).

Almost surely, 2^12762486000 is an apocalyptic number.

12762486000 is a gapful number since it is divisible by the number (10) 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 12762486000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24895728000).

12762486000 is an abundant number, since it is smaller than the sum of its proper divisors (37028970000).

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

12762486000 is a wasteful number, since it uses less digits than its factorization.

12762486000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 12762486000 in words is "twelve billion, seven hundred sixty-two million, four hundred eighty-six thousand".