5009126400 has 264 divisors, whose sum is σ = 18397453440. Its totient is φ = 1335582720.

The previous prime is 5009126363. The next prime is 5009126401. The reversal of 5009126400 is 46219005.

5009126400 is a `hidden beast` number, since 5 + 0 + 0 + 9 + 12 + 640 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5009126401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 687577 + ... + 694823.

Almost surely, 2^5009126400 is an apocalyptic number.

5009126400 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 5009126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9198726720).

5009126400 is an abundant number, since it is smaller than the sum of its proper divisors (13388327040).

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

5009126400 is a wasteful number, since it uses less digits than its factorization.

5009126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7286 (or 7257 counting only the distinct ones).

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

The square root of 5009126400 is about 70775.1820908996. The cubic root of 5009126400 is about 1711.0157092791.

The spelling of 5009126400 in words is "five billion, nine million, one hundred twenty-six thousand, four hundred".