553656673567000 has 128 divisors (see below), whose sum is σ = 1304084758579200. Its totient is φ = 220006076400000.

The previous prime is 553656673566991. The next prime is 553656673567003. The reversal of 553656673567000 is 765376656355.

It is a hoax number, since the sum of its digits (64) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553656673567003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366158521 + ... + 367667479.

It is an arithmetic number, because the mean of its divisors is an integer number (10188162176400).

Almost surely, 2^{553656673567000} is an apocalyptic number.

553656673567000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553656673567000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652042379289600).

553656673567000 is an abundant number, since it is smaller than the sum of its proper divisors (750428085012200).

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

553656673567000 is a wasteful number, since it uses less digits than its factorization.

553656673567000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511394 (or 1511380 counting only the distinct ones).

The product of its (nonzero) digits is 357210000, while the sum is 64.

The spelling of 553656673567000 in words is "five hundred fifty-three trillion, six hundred fifty-six billion, six hundred seventy-three million, five hundred sixty-seven thousand".