5284777504864 has 384 divisors, whose sum is σ = 13321489112064. Its totient is φ = 2026708992000.

The previous prime is 5284777504843. The next prime is 5284777504879. The reversal of 5284777504864 is 4684057774825.

It is a Harshad number since it is a multiple of its sum of digits (67).

It is a self number, because there is not a number n which added to its sum of digits gives 5284777504864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 370049404 + ... + 370063684.

It is an arithmetic number, because the mean of its divisors is an integer number (34691377896).

Almost surely, 2^{5284777504864} 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 5284777504864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6660744556032).

5284777504864 is an abundant number, since it is smaller than the sum of its proper divisors (8036711607200).

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

5284777504864 is a wasteful number, since it uses less digits than its factorization.

5284777504864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14470 (or 14462 counting only the distinct ones).

The product of its (nonzero) digits is 421478400, while the sum is 67.

The spelling of 5284777504864 in words is "five trillion, two hundred eighty-four billion, seven hundred seventy-seven million, five hundred four thousand, eight hundred sixty-four".