53200779264 has 288 divisors, whose sum is σ = 162431483760. Its totient is φ = 17390370816.

The previous prime is 53200779259. The next prime is 53200779271. The reversal of 53200779264 is 46297700235.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26375184 + ... + 26377200.

Almost surely, 2^53200779264 is an apocalyptic number.

53200779264 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 53200779264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81215741880).

53200779264 is an abundant number, since it is smaller than the sum of its proper divisors (109230704496).

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

53200779264 is an equidigital number, since it uses as much as digits as its factorization.

53200779264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 53200779264 in words is "fifty-three billion, two hundred million, seven hundred seventy-nine thousand, two hundred sixty-four".