53982617258304 has 1344 divisors, whose sum is σ = 198200391609600. Its totient is φ = 14322976948224.

The previous prime is 53982617258303. The next prime is 53982617258327. The reversal of 53982617258304 is 40385271628935.

53982617258304 is a `hidden beast` number, since 5 + 3 + 9 + 8 + 2 + 617 + 2 + 5 + 8 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53982617258303) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20317129744 + ... + 20317132400.

It is a 2-persistent number, because it is pandigital, and so is 2⋅53982617258304 = 107965234516608, but 3⋅53982617258304 = 161947851774912 is not.

Almost surely, 2^{53982617258304} is an apocalyptic number.

53982617258304 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 53982617258304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99100195804800).

53982617258304 is an abundant number, since it is smaller than the sum of its proper divisors (144217774351296).

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

53982617258304 is a wasteful number, since it uses less digits than its factorization.

53982617258304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 53982617258304 in words is "fifty-three trillion, nine hundred eighty-two billion, six hundred seventeen million, two hundred fifty-eight thousand, three hundred four".