52132210400 has 144 divisors (see below), whose sum is σ = 129635640288. Its totient is φ = 20466432000.

The previous prime is 52132210391. The next prime is 52132210409. The reversal of 52132210400 is 401223125.

It is an interprime number because it is at equal distance from previous prime (52132210391) and next prime (52132210409).

It is a super-2 number, since 2×52132210400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52132210409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30791954 + ... + 30793646.

It is an arithmetic number, because the mean of its divisors is an integer number (900247502).

Almost surely, 2^52132210400 is an apocalyptic number.

52132210400 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 52132210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64817820144).

52132210400 is an abundant number, since it is smaller than the sum of its proper divisors (77503429888).

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

52132210400 is a wasteful number, since it uses less digits than its factorization.

52132210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 52132210400 its reverse (401223125), we get a palindrome (52533433525).

The spelling of 52132210400 in words is "fifty-two billion, one hundred thirty-two million, two hundred ten thousand, four hundred".