551853860659920 has 960 divisors, whose sum is σ = 2286956989384704. Its totient is φ = 116131062804480.

The previous prime is 551853860659861. The next prime is 551853860659939. The reversal of 551853860659920 is 29956068358155.

551853860659920 is a `hidden beast` number, since 5 + 5 + 1 + 8 + 5 + 3 + 8 + 6 + 0 + 6 + 599 + 20 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 128847502099 + ... + 128847506381.

Almost surely, 2^{551853860659920} 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 551853860659920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143478494692352).

551853860659920 is an abundant number, since it is smaller than the sum of its proper divisors (1735103128724784).

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

551853860659920 is a wasteful number, since it uses less digits than its factorization.

551853860659920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9000 (or 8991 counting only the distinct ones).

The product of its (nonzero) digits is 699840000, while the sum is 72.

The spelling of 551853860659920 in words is "five hundred fifty-one trillion, eight hundred fifty-three billion, eight hundred sixty million, six hundred fifty-nine thousand, nine hundred twenty".