5090916600 has 576 divisors, whose sum is σ = 22256432640. Its totient is φ = 1011225600.

The previous prime is 5090916581. The next prime is 5090916653. The reversal of 5090916600 is 66190905.

5090916600 is a `hidden beast` number, since 509 + 0 + 91 + 6 + 60 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3187002 + ... + 3188598.

It is an arithmetic number, because the mean of its divisors is an integer number (38639640).

Almost surely, 2^5090916600 is an apocalyptic number.

5090916600 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 5090916600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11128216320).

5090916600 is an abundant number, since it is smaller than the sum of its proper divisors (17165516040).

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

5090916600 is a wasteful number, since it uses less digits than its factorization.

5090916600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 5090916600 is about 71350.6594223207. The cubic root of 5090916600 is about 1720.2781008770.

The spelling of 5090916600 in words is "five billion, ninety million, nine hundred sixteen thousand, six hundred".