53533617984 has 1400 divisors, whose sum is σ = 223134740928. Its totient is φ = 12517908480.

The previous prime is 53533617953. The next prime is 53533617989. The reversal of 53533617984 is 48971633535.

53533617984 is a `hidden beast` number, since 5 + 3 + 533 + 6 + 17 + 98 + 4 = 666.

53533617984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (8164800) is a multiple of the sum of its prime divisors (63).

It is a self number, because there is not a number n which added to its sum of digits gives 53533617984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53533617989) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 2327548597 + ... + 2327548619.

Almost surely, 2^53533617984 is an apocalyptic number.

53533617984 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 53533617984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111567370464).

53533617984 is an abundant number, since it is smaller than the sum of its proper divisors (169601122944).

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

53533617984 is a wasteful number, since it uses less digits than its factorization.

53533617984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 63 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 53533617984 in words is "fifty-three billion, five hundred thirty-three million, six hundred seventeen thousand, nine hundred eighty-four".