5301888276480 has 576 divisors, whose sum is σ = 17931668751360. Its totient is φ = 1335966105600.

The previous prime is 5301888276479. The next prime is 5301888276577. The reversal of 5301888276480 is 846728881035.

It is a super-2 number, since 2×5301888276480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1760838175 + ... + 1760841185.

It is an arithmetic number, because the mean of its divisors is an integer number (31131369360).

Almost surely, 2^{5301888276480} 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 5301888276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8965834375680).

5301888276480 is an abundant number, since it is smaller than the sum of its proper divisors (12629780474880).

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

5301888276480 is a wasteful number, since it uses less digits than its factorization.

5301888276480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3158 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 60.

The spelling of 5301888276480 in words is "five trillion, three hundred one billion, eight hundred eighty-eight million, two hundred seventy-six thousand, four hundred eighty".