12510391783680 has 1728 divisors, whose sum is σ = 56075331207168. Its totient is φ = 2604255805440.

The previous prime is 12510391783619. The next prime is 12510391783733. The reversal of 12510391783680 is 8638719301521.

12510391783680 is a `hidden beast` number, since 1 + 2 + 5 + 103 + 9 + 178 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 1147421109 + ... + 1147432011.

It is an arithmetic number, because the mean of its divisors is an integer number (32451001856).

Almost surely, 2^{12510391783680} is an apocalyptic number.

12510391783680 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 12510391783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28037665603584).

12510391783680 is an abundant number, since it is smaller than the sum of its proper divisors (43564939423488).

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

12510391783680 is a wasteful number, since it uses less digits than its factorization.

12510391783680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10994 (or 10968 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 12510391783680 in words is "twelve trillion, five hundred ten billion, three hundred ninety-one million, seven hundred eighty-three thousand, six hundred eighty".