53583320947968 has 864 divisors, whose sum is σ = 188751978455040. Its totient is φ = 14296287559680.

The previous prime is 53583320947963. The next prime is 53583320947991. The reversal of 53583320947968 is 86974902338535.

53583320947968 is a `hidden beast` number, since 5 + 3 + 583 + 32 + 0 + 9 + 4 + 7 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 53583320947896 and 53583320947905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53583320947963) 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, 1784370778 + ... + 1784400806.

Almost surely, 2^{53583320947968} 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 53583320947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94375989227520).

53583320947968 is an abundant number, since it is smaller than the sum of its proper divisors (135168657507072).

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

53583320947968 is a wasteful number, since it uses less digits than its factorization.

53583320947968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30215 (or 30198 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 53583320947968 in words is "fifty-three trillion, five hundred eighty-three billion, three hundred twenty million, nine hundred forty-seven thousand, nine hundred sixty-eight".