5181026400 has 648 divisors, whose sum is σ = 21205908360. Its totient is φ = 1186099200.

The previous prime is 5181026363. The next prime is 5181026443. The reversal of 5181026400 is 46201815.

5181026400 is a `hidden beast` number, since 5 + 1 + 8 + 10 + 2 + 640 + 0 = 666.

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 16552644 + ... + 16552956.

Almost surely, 2^5181026400 is an apocalyptic number.

5181026400 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 5181026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10602954180).

5181026400 is an abundant number, since it is smaller than the sum of its proper divisors (16024881960).

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

5181026400 is a wasteful number, since it uses less digits than its factorization.

5181026400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5181026400 is about 71979.3470378830. The cubic root of 5181026400 is about 1730.3685049249.

It can be divided in two parts, 51810 and 26400, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 5181026400 in words is "five billion, one hundred eighty-one million, twenty-six thousand, four hundred".