53068963200 has 384 divisors, whose sum is σ = 191729514240. Its totient is φ = 12794880000.

The previous prime is 53068963069. The next prime is 53068963201. The reversal of 53068963200 is 236986035.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53068963201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20801925 + ... + 20804475.

It is an arithmetic number, because the mean of its divisors is an integer number (499295610).

Almost surely, 2^53068963200 is an apocalyptic number.

53068963200 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 53068963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95864757120).

53068963200 is an abundant number, since it is smaller than the sum of its proper divisors (138660551040).

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

53068963200 is a wasteful number, since it uses less digits than its factorization.

53068963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 53068963200 in words is "fifty-three billion, sixty-eight million, nine hundred sixty-three thousand, two hundred".