53823968640 has 320 divisors, whose sum is σ = 207003479760. Its totient is φ = 13248811008.

The previous prime is 53823968603. The next prime is 53823968701. The reversal of 53823968640 is 4686932835.

53823968640 is a `hidden beast` number, since 538 + 2 + 3 + 9 + 68 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 633987 + ... + 713853.

Almost surely, 2^53823968640 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 53823968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103501739880).

53823968640 is an abundant number, since it is smaller than the sum of its proper divisors (153179511120).

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

53823968640 is a wasteful number, since it uses less digits than its factorization.

53823968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79911 (or 79890 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 53823968640 in words is "fifty-three billion, eight hundred twenty-three million, nine hundred sixty-eight thousand, six hundred forty".