12807503216640 has 864 divisors, whose sum is σ = 48668806682496. Its totient is φ = 3089922785280.

The previous prime is 12807503216617. The next prime is 12807503216653. The reversal of 12807503216640 is 4661230570821.

12807503216640 is a `hidden beast` number, since 1 + 2 + 80 + 7 + 503 + 2 + 1 + 6 + 64 + 0 = 666.

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

It is a congruent number.

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, 19918356159 + ... + 19918356801.

It is an arithmetic number, because the mean of its divisors is an integer number (56329637364).

Almost surely, 2^{12807503216640} is an apocalyptic number.

12807503216640 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 12807503216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24334403341248).

12807503216640 is an abundant number, since it is smaller than the sum of its proper divisors (35861303465856).

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

12807503216640 is an equidigital number, since it uses as much as digits as its factorization.

12807503216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 12807503216640 in words is "twelve trillion, eight hundred seven billion, five hundred three million, two hundred sixteen thousand, six hundred forty".