5191615840320 has 3920 divisors, whose sum is σ = 25082885624832. Its totient is φ = 1013950586880.

The previous prime is 5191615840277. The next prime is 5191615840337. The reversal of 5191615840320 is 230485161915.

It is a happy number.

5191615840320 is a `hidden beast` number, since 5 + 1 + 9 + 1 + 61 + 584 + 0 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 559 ways as a sum of consecutive naturals, for example, 167471478705 + ... + 167471478735.

Almost surely, 2^{5191615840320} 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 5191615840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12541442812416).

5191615840320 is an abundant number, since it is smaller than the sum of its proper divisors (19891269784512).

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

5191615840320 is an equidigital number, since it uses as much as digits as its factorization.

5191615840320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 5191615840320 in words is "five trillion, one hundred ninety-one billion, six hundred fifteen million, eight hundred forty thousand, three hundred twenty".