52132550400 has 1296 divisors, whose sum is σ = 228840353280. Its totient is φ = 11573452800.

The previous prime is 52132550369. The next prime is 52132550401. The reversal of 52132550400 is 405523125.

It is a happy number.

52132550400 is a `hidden beast` number, since 5 + 2 + 1 + 3 + 255 + 0 + 400 = 666.

It is a super-2 number, since 2×52132550400² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52132550401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 397958335 + ... + 397958465.

Almost surely, 2^52132550400 is an apocalyptic number.

52132550400 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 52132550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114420176640).

52132550400 is an abundant number, since it is smaller than the sum of its proper divisors (176707802880).

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

52132550400 is a wasteful number, since it uses less digits than its factorization.

52132550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 52132550400 in words is "fifty-two billion, one hundred thirty-two million, five hundred fifty thousand, four hundred".