52784201600 has 192 divisors, whose sum is σ = 141037848000. Its totient is φ = 19404349440.

The previous prime is 52784201567. The next prime is 52784201627. The reversal of 52784201600 is 610248725.

52784201600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9939746 + ... + 9945054.

It is an arithmetic number, because the mean of its divisors is an integer number (734572125).

Almost surely, 2^52784201600 is an apocalyptic number.

52784201600 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 52784201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70518924000).

52784201600 is an abundant number, since it is smaller than the sum of its proper divisors (88253646400).

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

52784201600 is a wasteful number, since it uses less digits than its factorization.

52784201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5585 (or 5568 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The spelling of 52784201600 in words is "fifty-two billion, seven hundred eighty-four million, two hundred one thousand, six hundred".