816553234531800 has 72 divisors (see below), whose sum is σ = 2742257945975340. Its totient is φ = 217747529208000.

The previous prime is 816553234531799. The next prime is 816553234531817. The reversal of 816553234531800 is 8135432355618.

816553234531800 is a `hidden beast` number, since 8 + 1 + 6 + 5 + 5 + 3 + 2 + 3 + 453 + 180 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×816553234531800³ (a number of 46 digits) contains 333 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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 226820341126 + ... + 226820344725.

Almost surely, 2^{816553234531800} is an apocalyptic number.

It is an amenable number.

816553234531800 is an abundant number, since it is smaller than the sum of its proper divisors (1925704711443540).

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

816553234531800 is a wasteful number, since it uses less digits than its factorization.

816553234531800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453640685873 (or 453640685861 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 816553234531800 in words is "eight hundred sixteen trillion, five hundred fifty-three billion, two hundred thirty-four million, five hundred thirty-one thousand, eight hundred".