12862153080 has 864 divisors, whose sum is σ = 54869864400. Its totient is φ = 2671570944.

The previous prime is 12862153079. The next prime is 12862153103. The reversal of 12862153080 is 8035126821.

It is a happy number.

12862153080 is a `hidden beast` number, since 1 + 28 + 6 + 21 + 530 + 80 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 443522506 + ... + 443522534.

Almost surely, 2^12862153080 is an apocalyptic number.

12862153080 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 12862153080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27434932200).

12862153080 is an abundant number, since it is smaller than the sum of its proper divisors (42007711320).

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

12862153080 is a wasteful number, since it uses less digits than its factorization.

12862153080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 12862153080 in words is "twelve billion, eight hundred sixty-two million, one hundred fifty-three thousand, eighty".