52395033600 has 2112 divisors, whose sum is σ = 255858624000. Its totient is φ = 10404495360.

The previous prime is 52395033571. The next prime is 52395033601. The reversal of 52395033600 is 633059325.

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 (52395033601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3082060792 + ... + 3082060808.

Almost surely, 2^52395033600 is an apocalyptic number.

52395033600 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 52395033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127929312000).

52395033600 is an abundant number, since it is smaller than the sum of its proper divisors (203463590400).

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

52395033600 is a wasteful number, since it uses less digits than its factorization.

52395033600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

The spelling of 52395033600 in words is "fifty-two billion, three hundred ninety-five million, thirty-three thousand, six hundred".