5301791397504 has 640 divisors, whose sum is σ = 18618165688320. Its totient is φ = 1465998704640.

The previous prime is 5301791397503. The next prime is 5301791397521. The reversal of 5301791397504 is 4057931971035.

5301791397504 is a `hidden beast` number, since 5 + 3 + 0 + 17 + 91 + 39 + 7 + 504 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5301791397503) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 512889424 + ... + 512899760.

It is an arithmetic number, because the mean of its divisors is an integer number (29090883888).

Almost surely, 2^{5301791397504} is an apocalyptic number.

5301791397504 is a gapful number since it is divisible by the number (54) 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 5301791397504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9309082844160).

5301791397504 is an abundant number, since it is smaller than the sum of its proper divisors (13316374290816).

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

5301791397504 is a wasteful number, since it uses less digits than its factorization.

5301791397504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10598 (or 10577 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 5301791397504 in words is "five trillion, three hundred one billion, seven hundred ninety-one million, three hundred ninety-seven thousand, five hundred four".