5260502400 has 192 divisors, whose sum is σ = 17373925200. Its totient is φ = 1398988800.

The previous prime is 5260502381. The next prime is 5260502419. The reversal of 5260502400 is 42050625.

It is an interprime number because it is at equal distance from previous prime (5260502381) and next prime (5260502419).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6345186 + ... + 6346014.

Almost surely, 2^5260502400 is an apocalyptic number.

5260502400 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 5260502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8686962600).

5260502400 is an abundant number, since it is smaller than the sum of its proper divisors (12113422800).

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

5260502400 is a wasteful number, since it uses less digits than its factorization.

5260502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 5260502400 is about 72529.3209674543. The cubic root of 5260502400 is about 1739.1714908858.

The spelling of 5260502400 in words is "five billion, two hundred sixty million, five hundred two thousand, four hundred".