53337968640000 has 3200 divisors, whose sum is σ = 225925128316800. Its totient is φ = 12421693440000.

The previous prime is 53337968639939. The next prime is 53337968640001. The reversal of 53337968640000 is 4686973335.

53337968640000 is a `hidden beast` number, since 533 + 3 + 7 + 9 + 68 + 6 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (53337968640001) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 675164159961 + ... + 675164160039.

It is an arithmetic number, because the mean of its divisors is an integer number (70601602599).

Almost surely, 2^{53337968640000} is an apocalyptic number.

53337968640000 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 53337968640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112962564158400).

53337968640000 is an abundant number, since it is smaller than the sum of its proper divisors (172587159676800).

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

53337968640000 is an frugal number, since it uses more digits than its factorization.

53337968640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 53337968640000 in words is "fifty-three trillion, three hundred thirty-seven billion, nine hundred sixty-eight million, six hundred forty thousand".