5026761600 has 768 divisors, whose sum is σ = 20722483200. Its totient is φ = 1045094400.

The previous prime is 5026761599. The next prime is 5026761601. The reversal of 5026761600 is 61676205.

It is an interprime number because it is at equal distance from previous prime (5026761599) and next prime (5026761601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5026761601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39580737 + ... + 39580863.

It is an arithmetic number, because the mean of its divisors is an integer number (26982400).

Almost surely, 2^5026761600 is an apocalyptic number.

5026761600 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 5026761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10361241600).

5026761600 is an abundant number, since it is smaller than the sum of its proper divisors (15695721600).

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

5026761600 is a wasteful number, since it uses less digits than its factorization.

5026761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 5026761600 is about 70899.6586733674. The cubic root of 5026761600 is about 1713.0212993740.

The spelling of 5026761600 in words is "five billion, twenty-six million, seven hundred sixty-one thousand, six hundred".