53909407200 has 576 divisors, whose sum is σ = 204673900032. Its totient is φ = 12179865600.

The previous prime is 53909407171. The next prime is 53909407219. The reversal of 53909407200 is 270490935.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50713869 + ... + 50714931.

It is an arithmetic number, because the mean of its divisors is an integer number (355336632).

Almost surely, 2^53909407200 is an apocalyptic number.

53909407200 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 53909407200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102336950016).

53909407200 is an abundant number, since it is smaller than the sum of its proper divisors (150764492832).

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

53909407200 is a wasteful number, since it uses less digits than its factorization.

53909407200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The spelling of 53909407200 in words is "fifty-three billion, nine hundred nine million, four hundred seven thousand, two hundred".