5178390497280 has 3888 divisors, whose sum is σ = 25662497531580. Its totient is φ = 993257717760.

The previous prime is 5178390497243. The next prime is 5178390497303. The reversal of 5178390497280 is 827940938715.

5178390497280 is a `hidden beast` number, since 5 + 178 + 390 + 4 + 9 + 72 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4819886539776 + 358503957504 = 2195424^2 + 598752^2 .

It is a tau number, because it is divible by the number of its divisors (3888).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 398337730554 + ... + 398337730566.

Almost surely, 2^{5178390497280} 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 5178390497280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12831248765790).

5178390497280 is an abundant number, since it is smaller than the sum of its proper divisors (20484107034300).

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

5178390497280 is an equidigital number, since it uses as much as digits as its factorization.

5178390497280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 5178390497280 in words is "five trillion, one hundred seventy-eight billion, three hundred ninety million, four hundred ninety-seven thousand, two hundred eighty".