5026906400 has 144 divisors (see below), whose sum is σ = 12992918400. Its totient is φ = 1895900160.

The previous prime is 5026906343. The next prime is 5026906403. The reversal of 5026906400 is 46096205.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (5026906403) 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, 995081 + ... + 1000119.

It is an arithmetic number, because the mean of its divisors is an integer number (90228600).

Almost surely, 2^5026906400 is an apocalyptic number.

5026906400 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 5026906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6496459200).

5026906400 is an abundant number, since it is smaller than the sum of its proper divisors (7966012000).

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

5026906400 is a wasteful number, since it uses less digits than its factorization.

5026906400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5131 (or 5118 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 5026906400 is about 70900.6798274883. The cubic root of 5026906400 is about 1713.0377475450.

The spelling of 5026906400 in words is "five billion, twenty-six million, nine hundred six thousand, four hundred".