53993350224 has 160 divisors (see below), whose sum is σ = 169585812480. Its totient is φ = 16311715200.

The previous prime is 53993350207. The next prime is 53993350237. The reversal of 53993350224 is 42205339935.

It is a happy number.

53993350224 is a `hidden beast` number, since 5 + 3 + 99 + 33 + 502 + 24 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 53993350224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1555749 + ... + 1590075.

It is an arithmetic number, because the mean of its divisors is an integer number (1059911328).

Almost surely, 2^53993350224 is an apocalyptic number.

53993350224 is a gapful number since it is divisible by the number (54) 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 53993350224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84792906240).

53993350224 is an abundant number, since it is smaller than the sum of its proper divisors (115592462256).

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

53993350224 is a wasteful number, since it uses less digits than its factorization.

53993350224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34686 (or 34674 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 53993350224 in words is "fifty-three billion, nine hundred ninety-three million, three hundred fifty thousand, two hundred twenty-four".