12488683680 has 288 divisors, whose sum is σ = 48215539008. Its totient is φ = 3027456000.

The previous prime is 12488683661. The next prime is 12488683693. The reversal of 12488683680 is 8638688421.

12488683680 is a `hidden beast` number, since 1 + 2 + 488 + 6 + 83 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413080 + ... + 442280.

It is an arithmetic number, because the mean of its divisors is an integer number (167415066).

Almost surely, 2^12488683680 is an apocalyptic number.

12488683680 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 12488683680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24107769504).

12488683680 is an abundant number, since it is smaller than the sum of its proper divisors (35726855328).

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

12488683680 is a wasteful number, since it uses less digits than its factorization.

12488683680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29242 (or 29222 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 12488683680 in words is "twelve billion, four hundred eighty-eight million, six hundred eighty-three thousand, six hundred eighty".