53604064000 has 288 divisors, whose sum is σ = 141192979200. Its totient is φ = 20245299200.

The previous prime is 53604063979. The next prime is 53604064001. The reversal of 53604064000 is 46040635.

It is a self number, because there is not a number n which added to its sum of digits gives 53604064000.

It is not an unprimeable number, because it can be changed into a prime (53604064001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43615386 + ... + 43616614.

It is an arithmetic number, because the mean of its divisors is an integer number (490253400).

Almost surely, 2^53604064000 is an apocalyptic number.

53604064000 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 53604064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70596489600).

53604064000 is an abundant number, since it is smaller than the sum of its proper divisors (87588915200).

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

53604064000 is a wasteful number, since it uses less digits than its factorization.

53604064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The spelling of 53604064000 in words is "fifty-three billion, six hundred four million, sixty-four thousand".