5090412600 has 576 divisors, whose sum is σ = 21838602240. Its totient is φ = 1073088000.

The previous prime is 5090412599. The next prime is 5090412631. The reversal of 5090412600 is 62140905.

5090412600 is a `hidden beast` number, since 50 + 9 + 0 + 4 + 1 + 2 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 4422025 + ... + 4423175.

It is an arithmetic number, because the mean of its divisors is an integer number (37914240).

Almost surely, 2^5090412600 is an apocalyptic number.

5090412600 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 5090412600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10919301120).

5090412600 is an abundant number, since it is smaller than the sum of its proper divisors (16748189640).

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

5090412600 is a wasteful number, since it uses less digits than its factorization.

5090412600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5090412600 is about 71347.1274824712. The cubic root of 5090412600 is about 1720.2213299099.

It can be divided in two parts, 50904 and 12600, that added together give a square (63504 = 252²).

The spelling of 5090412600 in words is "five billion, ninety million, four hundred twelve thousand, six hundred".