5362593984 has 336 divisors, whose sum is σ = 17818120320. Its totient is φ = 1587237120.

The previous prime is 5362593983. The next prime is 5362594009. The reversal of 5362593984 is 4893952635.

5362593984 is a `hidden beast` number, since 5 + 3 + 625 + 9 + 3 + 9 + 8 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 5362593984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5362593983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124711467 + ... + 124711509.

It is an arithmetic number, because the mean of its divisors is an integer number (53030120).

Almost surely, 2^5362593984 is an apocalyptic number.

5362593984 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 5362593984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8909060160).

5362593984 is an abundant number, since it is smaller than the sum of its proper divisors (12455526336).

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

5362593984 is an frugal number, since it uses more digits than its factorization.

5362593984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 59 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The square root of 5362593984 is about 73229.7342887437. The cubic root of 5362593984 is about 1750.3502954825.

The spelling of 5362593984 in words is "five billion, three hundred sixty-two million, five hundred ninety-three thousand, nine hundred eighty-four".