53212723200 has 1728 divisors, whose sum is σ = 248414100480. Its totient is φ = 10988421120.

The previous prime is 53212723147. The next prime is 53212723219. The reversal of 53212723200 is 232721235.

It is a happy number.

53212723200 is a `hidden beast` number, since 53 + 21 + 272 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1132185577 + ... + 1132185623.

It is an arithmetic number, because the mean of its divisors is an integer number (143758160).

Almost surely, 2^53212723200 is an apocalyptic number.

53212723200 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 53212723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124207050240).

53212723200 is an abundant number, since it is smaller than the sum of its proper divisors (195201377280).

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

53212723200 is a wasteful number, since it uses less digits than its factorization.

53212723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 53212723200 in words is "fifty-three billion, two hundred twelve million, seven hundred twenty-three thousand, two hundred".