5129778401280 has 416 divisors, whose sum is σ = 19639858197120. Its totient is φ = 1262712913920.

The previous prime is 5129778401263. The next prime is 5129778401291. The reversal of 5129778401280 is 821048779215.

5129778401280 is a `hidden beast` number, since 5 + 1 + 2 + 97 + 78 + 401 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6831675 + ... + 7545285.

Almost surely, 2^{5129778401280} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5129778401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9819929098560).

5129778401280 is an abundant number, since it is smaller than the sum of its proper divisors (14510079795840).

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

5129778401280 is a wasteful number, since it uses less digits than its factorization.

5129778401280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713662 (or 713634 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 5129778401280 in words is "five trillion, one hundred twenty-nine billion, seven hundred seventy-eight million, four hundred one thousand, two hundred eighty".