52461561600 has 1296 divisors, whose sum is σ = 228799800320. Its totient is φ = 11645337600.

The previous prime is 52461561479. The next prime is 52461561601. The reversal of 52461561600 is 616516425.

52461561600 is a `hidden beast` number, since 5 + 2 + 46 + 1 + 5 + 6 + 1 + 600 = 666.

52461561600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1296).

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 (52461561601) 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, 664070361 + ... + 664070439.

Almost surely, 2^52461561600 is an apocalyptic number.

52461561600 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 52461561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114399900160).

52461561600 is an abundant number, since it is smaller than the sum of its proper divisors (176338238720).

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

52461561600 is an equidigital number, since it uses as much as digits as its factorization.

52461561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 52461561600 in words is "fifty-two billion, four hundred sixty-one million, five hundred sixty-one thousand, six hundred".