52032130040400 has 120 divisors (see below), whose sum is σ = 166677879626400. Its totient is φ = 13875099563520.

The previous prime is 52032130040393. The next prime is 52032130040417. The reversal of 52032130040400 is 404003123025.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×52032130040400² (a number of 28 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211476651 + ... + 211722549.

It is an arithmetic number, because the mean of its divisors is an integer number (1388982330220).

Almost surely, 2^{52032130040400} is an apocalyptic number.

52032130040400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52032130040400 is an abundant number, since it is smaller than the sum of its proper divisors (114645749586000).

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

52032130040400 is a wasteful number, since it uses less digits than its factorization.

52032130040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422253 (or 422242 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 52032130040400 its reverse (404003123025), we get a palindrome (52436133163425).

The spelling of 52032130040400 in words is "fifty-two trillion, thirty-two billion, one hundred thirty million, forty thousand, four hundred".