5361583104 has 264 divisors, whose sum is σ = 16630810560. Its totient is φ = 1723244544.

The previous prime is 5361583067. The next prime is 5361583109. The reversal of 5361583104 is 4013851635.

5361583104 is a `hidden beast` number, since 5 + 3 + 61 + 583 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5361583109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7215757 + ... + 7216499.

Almost surely, 2^5361583104 is an apocalyptic number.

5361583104 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 5361583104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8315405280).

5361583104 is an abundant number, since it is smaller than the sum of its proper divisors (11269227456).

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

5361583104 is an equidigital number, since it uses as much as digits as its factorization.

5361583104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5361583104 is about 73222.8318490893. The cubic root of 5361583104 is about 1750.2403048509.

The spelling of 5361583104 in words is "five billion, three hundred sixty-one million, five hundred eighty-three thousand, one hundred four".