6550117002000 has 1440 divisors, whose sum is σ = 27963442975104. Its totient is φ = 1460985984000.

The previous prime is 6550117001971. The next prime is 6550117002031. The reversal of 6550117002000 is 2007110556.

6550117002000 is a `hidden beast` number, since 655 + 0 + 1 + 1 + 7 + 0 + 0 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21335885847 + ... + 21335886153.

Almost surely, 2^{6550117002000} is an apocalyptic number.

6550117002000 is a gapful number since it is divisible by the number (60) 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 6550117002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13981721487552).

6550117002000 is an abundant number, since it is smaller than the sum of its proper divisors (21413325973104).

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

6550117002000 is a wasteful number, since it uses less digits than its factorization.

6550117002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 6550117002000 in words is "six trillion, five hundred fifty billion, one hundred seventeen million, two thousand".