5026526400 has 336 divisors, whose sum is σ = 18963111680. Its totient is φ = 1141862400.

The previous prime is 5026526383. The next prime is 5026526411. The reversal of 5026526400 is 46256205.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7089246 + ... + 7089954.

Almost surely, 2^5026526400 is an apocalyptic number.

5026526400 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 5026526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9481555840).

5026526400 is an abundant number, since it is smaller than the sum of its proper divisors (13936585280).

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

5026526400 is a wasteful number, since it uses less digits than its factorization.

5026526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5026526400 is about 70897.9999717905. Note that the first 4 decimals coincide. The cubic root of 5026526400 is about 1712.9945817822.

The spelling of 5026526400 in words is "five billion, twenty-six million, five hundred twenty-six thousand, four hundred".