5269082400 has 720 divisors, whose sum is σ = 20629179648. Its totient is φ = 1306368000.

The previous prime is 5269082321. The next prime is 5269082449. The reversal of 5269082400 is 42809625.

It is a happy number.

5269082400 is a `hidden beast` number, since 526 + 90 + 8 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 86378370 + ... + 86378430.

Almost surely, 2^5269082400 is an apocalyptic number.

5269082400 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 5269082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10314589824).

5269082400 is an abundant number, since it is smaller than the sum of its proper divisors (15360097248).

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

5269082400 is a wasteful number, since it uses less digits than its factorization.

5269082400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5269082400 is about 72588.4453615036. The cubic root of 5269082400 is about 1740.1165201399.

The spelling of 5269082400 in words is "five billion, two hundred sixty-nine million, eighty-two thousand, four hundred".