52561436400 has 720 divisors, whose sum is σ = 212424975360. Its totient is φ = 11894169600.

The previous prime is 52561436399. The next prime is 52561436401. The reversal of 52561436400 is 463416525.

52561436400 is a `hidden beast` number, since 5 + 2 + 5 + 6 + 1 + 4 + 3 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (52561436399) and next prime (52561436401).

It is a tau number, because it is divible by the number of its divisors (720).

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 (52561436401) 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, 109731361 + ... + 109731839.

It is an arithmetic number, because the mean of its divisors is an integer number (295034688).

Almost surely, 2^52561436400 is an apocalyptic number.

52561436400 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 52561436400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106212487680).

52561436400 is an abundant number, since it is smaller than the sum of its proper divisors (159863538960).

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

52561436400 is a wasteful number, since it uses less digits than its factorization.

52561436400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 52561436400 in words is "fifty-two billion, five hundred sixty-one million, four hundred thirty-six thousand, four hundred".