5551560648900 has 648 divisors, whose sum is σ = 20973801106440. Its totient is φ = 1223666196480.

The previous prime is 5551560648899. The next prime is 5551560648943. The reversal of 5551560648900 is 98460651555.

5551560648900 is a `hidden beast` number, since 5 + 5 + 5 + 156 + 0 + 6 + 489 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2340698044356 + 3210862604544 = 1529934^2 + 1791888^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 184367046 + ... + 184397154.

Almost surely, 2^{5551560648900} is an apocalyptic number.

5551560648900 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 5551560648900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10486900553220).

5551560648900 is an abundant number, since it is smaller than the sum of its proper divisors (15422240457540).

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

5551560648900 is a wasteful number, since it uses less digits than its factorization.

5551560648900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30293 (or 30276 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 5551560648900 in words is "five trillion, five hundred fifty-one billion, five hundred sixty million, six hundred forty-eight thousand, nine hundred".