533904576240 has 240 divisors, whose sum is σ = 1935970152480. Its totient is φ = 121360619520.

The previous prime is 533904576229. The next prime is 533904576301. The reversal of 533904576240 is 42675409335.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 533904576240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2003146 + ... + 2253974.

It is an arithmetic number, because the mean of its divisors is an integer number (8066542302).

Almost surely, 2^533904576240 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 533904576240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967985076240).

533904576240 is an abundant number, since it is smaller than the sum of its proper divisors (1402065576240).

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

533904576240 is a wasteful number, since it uses less digits than its factorization.

533904576240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251040 (or 251027 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 48.

The spelling of 533904576240 in words is "five hundred thirty-three billion, nine hundred four million, five hundred seventy-six thousand, two hundred forty".