534993582240 has 2304 divisors, whose sum is σ = 2371645785600. Its totient is φ = 112368549888.

The previous prime is 534993582209. The next prime is 534993582281. The reversal of 534993582240 is 42285399435.

534993582240 is a `hidden beast` number, since 5 + 3 + 49 + 9 + 358 + 2 + 240 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4734456424 + ... + 4734456536.

It is an arithmetic number, because the mean of its divisors is an integer number (1029360150).

Almost surely, 2^534993582240 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 534993582240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185822892800).

534993582240 is an abundant number, since it is smaller than the sum of its proper divisors (1836652203360).

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

534993582240 is a wasteful number, since it uses less digits than its factorization.

534993582240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 534993582240 in words is "five hundred thirty-four billion, nine hundred ninety-three million, five hundred eighty-two thousand, two hundred forty".