6651086260900 has 81 divisors (see below), whose sum is σ = 14949384487401. Its totient is φ = 2568406538880.

The previous prime is 6651086260843. The next prime is 6651086260919. The reversal of 6651086260900 is 90626801566.

It is a happy number.

The square root of 6651086260900 is 2578970.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 6212725741156 + 438360519744 = 2492534^2 + 662088^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 747896854 + ... + 747905746.

Almost surely, 2^{6651086260900} is an apocalyptic number.

6651086260900 is the 2578970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6651086260900

6651086260900 is an abundant number, since it is smaller than the sum of its proper divisors (8298298226501).

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

6651086260900 is an frugal number, since it uses more digits than its factorization.

6651086260900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17858 (or 8929 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

Multiplying 6651086260900 by its sum of digits (49), we get a square (325903226784100 = 18052790²).

The spelling of 6651086260900 in words is "six trillion, six hundred fifty-one billion, eighty-six million, two hundred sixty thousand, nine hundred".