5382610294464 has 1764 divisors, whose sum is σ = 19201785596352. Its totient is φ = 1493514547200.

The previous prime is 5382610294447. The next prime is 5382610294517. The reversal of 5382610294464 is 4644920162835.

5382610294464 is a `hidden beast` number, since 5 + 3 + 82 + 6 + 10 + 2 + 94 + 464 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5382610294464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 88239512994 + ... + 88239513054.

Almost surely, 2^{5382610294464} is an apocalyptic number.

5382610294464 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 5382610294464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9600892798176).

5382610294464 is an abundant number, since it is smaller than the sum of its proper divisors (13819175301888).

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

5382610294464 is a wasteful number, since it uses less digits than its factorization.

5382610294464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 5382610294464 in words is "five trillion, three hundred eighty-two billion, six hundred ten million, two hundred ninety-four thousand, four hundred sixty-four".