52526822400 has 1188 divisors, whose sum is σ = 217388452320. Its totient is φ = 12076646400.

The previous prime is 52526822399. The next prime is 52526822407. The reversal of 52526822400 is 422862525.

52526822400 is a `hidden beast` number, since 52 + 526 + 82 + 2 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×52526822400² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52526822407) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 739814365 + ... + 739814435.

Almost surely, 2^52526822400 is an apocalyptic number.

52526822400 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 52526822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108694226160).

52526822400 is an abundant number, since it is smaller than the sum of its proper divisors (164861629920).

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

52526822400 is a wasteful number, since it uses less digits than its factorization.

52526822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 52526822400 in words is "fifty-two billion, five hundred twenty-six million, eight hundred twenty-two thousand, four hundred".