5261630400 has 588 divisors, whose sum is σ = 20964902952. Its totient is φ = 1291438080.

The previous prime is 5261630389. The next prime is 5261630411. The reversal of 5261630400 is 40361625.

5261630400 is a `hidden beast` number, since 5 + 2 + 616 + 3 + 0 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5261630389) and next prime (5261630411).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 15163027 + ... + 15163373.

Almost surely, 2^5261630400 is an apocalyptic number.

5261630400 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 5261630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10482451476).

5261630400 is an abundant number, since it is smaller than the sum of its proper divisors (15703272552).

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

5261630400 is a wasteful number, since it uses less digits than its factorization.

5261630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5261630400 is about 72537.0967160942. The cubic root of 5261630400 is about 1739.2957911325.

The spelling of 5261630400 in words is "five billion, two hundred sixty-one million, six hundred thirty thousand, four hundred".