551610203506560 has 512 divisors, whose sum is σ = 2143127636928000. Its totient is φ = 132976617799680.

The previous prime is 551610203506519. The next prime is 551610203506573. The reversal of 551610203506560 is 65605302016155.

551610203506560 is a `hidden beast` number, since 5 + 5 + 1 + 6 + 10 + 20 + 3 + 50 + 6 + 560 = 666.

It is a super-2 number, since 2×551610203506560² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25918204 + ... + 42130436.

It is an arithmetic number, because the mean of its divisors is an integer number (4185796165875).

Almost surely, 2^{551610203506560} 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 551610203506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071563818464000).

551610203506560 is an abundant number, since it is smaller than the sum of its proper divisors (1591517433421440).

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

551610203506560 is a wasteful number, since it uses less digits than its factorization.

551610203506560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16212451 (or 16212433 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 551610203506560 in words is "five hundred fifty-one trillion, six hundred ten billion, two hundred three million, five hundred six thousand, five hundred sixty".