12978574764480 has 1120 divisors, whose sum is σ = 51855348948480. Its totient is φ = 3059558645760.

The previous prime is 12978574764461. The next prime is 12978574764497. The reversal of 12978574764480 is 8446747587921.

12978574764480 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 8 + 5 + 74 + 76 + 4 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 12978574764399 and 12978574764408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1013232316 + ... + 1013245124.

It is an arithmetic number, because the mean of its divisors is an integer number (46299418704).

Almost surely, 2^{12978574764480} is an apocalyptic number.

12978574764480 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 12978574764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25927674474240).

12978574764480 is an abundant number, since it is smaller than the sum of its proper divisors (38876774184000).

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

12978574764480 is a wasteful number, since it uses less digits than its factorization.

12978574764480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12979 (or 12960 counting only the distinct ones).

The product of its (nonzero) digits is 758661120, while the sum is 72.

The spelling of 12978574764480 in words is "twelve trillion, nine hundred seventy-eight billion, five hundred seventy-four million, seven hundred sixty-four thousand, four hundred eighty".