12884901840 has 480 divisors, whose sum is σ = 46574161920. Its totient is φ = 3186376704.

The previous prime is 12884901833. The next prime is 12884901847. The reversal of 12884901840 is 4810948821.

12884901840 is a `hidden beast` number, since 1 + 2 + 88 + 490 + 1 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12884901833) and next prime (12884901847).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12884901847) 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, 101455857 + ... + 101455983.

It is an arithmetic number, because the mean of its divisors is an integer number (97029504).

Almost surely, 2^12884901840 is an apocalyptic number.

12884901840 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 12884901840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23287080960).

12884901840 is an abundant number, since it is smaller than the sum of its proper divisors (33689260080).

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

12884901840 is a wasteful number, since it uses less digits than its factorization.

12884901840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 12884901840 in words is "twelve billion, eight hundred eighty-four million, nine hundred one thousand, eight hundred forty".