5018726400 has 468 divisors, whose sum is σ = 18154335816. Its totient is φ = 1218969600.

The previous prime is 5018726371. The next prime is 5018726423. The reversal of 5018726400 is 46278105.

It is a super-2 number, since 2×5018726400² = 50375229356113920000, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 161894385 + ... + 161894415.

Almost surely, 2^5018726400 is an apocalyptic number.

5018726400 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 5018726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9077167908).

5018726400 is an abundant number, since it is smaller than the sum of its proper divisors (13135609416).

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

5018726400 is a wasteful number, since it uses less digits than its factorization.

5018726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 5018726400 is about 70842.9700111451. The cubic root of 5018726400 is about 1712.1080666637.

The spelling of 5018726400 in words is "five billion, eighteen million, seven hundred twenty-six thousand, four hundred".