52954387200 has 864 divisors, whose sum is σ = 228232058880. Its totient is φ = 11844403200.

The previous prime is 52954387181. The next prime is 52954387207. The reversal of 52954387200 is 278345925.

52954387200 is a `hidden beast` number, since 5 + 2 + 9 + 5 + 438 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (52954387207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24709329 + ... + 24711471.

Almost surely, 2^52954387200 is an apocalyptic number.

52954387200 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 52954387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114116029440).

52954387200 is an abundant number, since it is smaller than the sum of its proper divisors (175277671680).

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

52954387200 is a wasteful number, since it uses less digits than its factorization.

52954387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 52954387200 in words is "fifty-two billion, nine hundred fifty-four million, three hundred eighty-seven thousand, two hundred".