53684467200 has 1200 divisors, whose sum is σ = 244971508320. Its totient is φ = 11306926080.

The previous prime is 53684467169. The next prime is 53684467201. The reversal of 53684467200 is 276448635.

53684467200 is a `hidden beast` number, since 536 + 8 + 4 + 46 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53684467201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 94348516 + ... + 94349084.

Almost surely, 2^53684467200 is an apocalyptic number.

53684467200 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 53684467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122485754160).

53684467200 is an abundant number, since it is smaller than the sum of its proper divisors (191287041120).

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

53684467200 is a wasteful number, since it uses less digits than its factorization.

53684467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 53684467200 in words is "fifty-three billion, six hundred eighty-four million, four hundred sixty-seven thousand, two hundred".