53199408960 has 448 divisors, whose sum is σ = 194789145600. Its totient is φ = 13658112000.

The previous prime is 53199408901. The next prime is 53199408961. The reversal of 53199408960 is 6980499135.

53199408960 is a `hidden beast` number, since 531 + 9 + 9 + 40 + 8 + 9 + 60 = 666.

It is a super-2 number, since 2×53199408960² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 53199408897 and 53199408906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53199408961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27984010 + ... + 27985910.

It is an arithmetic number, because the mean of its divisors is an integer number (434797200).

Almost surely, 2^53199408960 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 53199408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97394572800).

53199408960 is an abundant number, since it is smaller than the sum of its proper divisors (141589736640).

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

53199408960 is a wasteful number, since it uses less digits than its factorization.

53199408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 53199408960 in words is "fifty-three billion, one hundred ninety-nine million, four hundred eight thousand, nine hundred sixty".