533972959793280 has 3840 divisors, whose sum is σ = 2443836852864000. Its totient is φ = 110341902827520.

The previous prime is 533972959793263. The next prime is 533972959793327. The reversal of 533972959793280 is 82397959279335.

533972959793280 is a `hidden beast` number, since 5 + 3 + 397 + 2 + 9 + 59 + 79 + 32 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 533972959793280.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 109219257076 + ... + 109219261964.

It is an arithmetic number, because the mean of its divisors is an integer number (636415847100).

Almost surely, 2^{533972959793280} 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 533972959793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221918426432000).

533972959793280 is an abundant number, since it is smaller than the sum of its proper divisors (1909863893070720).

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

533972959793280 is a wasteful number, since it uses less digits than its factorization.

533972959793280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5057 (or 5029 counting only the distinct ones).

The product of its (nonzero) digits is 6944162400, while the sum is 81.

The spelling of 533972959793280 in words is "five hundred thirty-three trillion, nine hundred seventy-two billion, nine hundred fifty-nine million, seven hundred ninety-three thousand, two hundred eighty".