5086054400 has 288 divisors, whose sum is σ = 15062785920. Its totient is φ = 1665269760.

The previous prime is 5086054397. The next prime is 5086054411. The reversal of 5086054400 is 44506805.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8242892 + ... + 8243508.

It is an arithmetic number, because the mean of its divisors is an integer number (52301340).

Almost surely, 2^5086054400 is an apocalyptic number.

5086054400 is a gapful number since it is divisible by the number (50) 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 5086054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7531392960).

5086054400 is an abundant number, since it is smaller than the sum of its proper divisors (9976731520).

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

5086054400 is a wasteful number, since it uses less digits than its factorization.

5086054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 5086054400 is about 71316.5787177147. The cubic root of 5086054400 is about 1719.7302623700.

The spelling of 5086054400 in words is "five billion, eighty-six million, fifty-four thousand, four hundred".