533503640400 has 120 divisors (see below), whose sum is σ = 1709199696480. Its totient is φ = 142250181120.

The previous prime is 533503640393. The next prime is 533503640471. The reversal of 533503640400 is 4046305335.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-4 number, since 4×533503640400⁴ (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 11945311 + ... + 11989889.

It is an arithmetic number, because the mean of its divisors is an integer number (14243330804).

Almost surely, 2^533503640400 is an apocalyptic number.

533503640400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

533503640400 is an abundant number, since it is smaller than the sum of its proper divisors (1175696056080).

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

533503640400 is a wasteful number, since it uses less digits than its factorization.

533503640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54573 (or 54562 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 33.

Adding to 533503640400 its reverse (4046305335), we get a palindrome (537549945735).

The spelling of 533503640400 in words is "five hundred thirty-three billion, five hundred three million, six hundred forty thousand, four hundred".