53338779648 has 1248 divisors, whose sum is σ = 215896412160. Its totient is φ = 12262440960.

The previous prime is 53338779631. The next prime is 53338779649. The reversal of 53338779648 is 84697783335.

53338779648 is a `hidden beast` number, since 533 + 3 + 8 + 7 + 7 + 96 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (91445760) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53338779649) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1240436715 + ... + 1240436757.

It is an arithmetic number, because the mean of its divisors is an integer number (172993920).

Almost surely, 2^53338779648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53338779648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107948206080).

53338779648 is an abundant number, since it is smaller than the sum of its proper divisors (162557632512).

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

53338779648 is a wasteful number, since it uses less digits than its factorization.

53338779648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 108 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 53338779648 in words is "fifty-three billion, three hundred thirty-eight million, seven hundred seventy-nine thousand, six hundred forty-eight".