6551162574000 has 640 divisors, whose sum is σ = 23747920035840. Its totient is φ = 1539974016000.

The previous prime is 6551162573941. The next prime is 6551162574079. The reversal of 6551162574000 is 4752611556.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 394473697 + ... + 394490303.

It is an arithmetic number, because the mean of its divisors is an integer number (37106125056).

Almost surely, 2^{6551162574000} is an apocalyptic number.

6551162574000 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 6551162574000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11873960017920).

6551162574000 is an abundant number, since it is smaller than the sum of its proper divisors (17196757461840).

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

6551162574000 is a wasteful number, since it uses less digits than its factorization.

6551162574000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16826 (or 16810 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 6551162574000 in words is "six trillion, five hundred fifty-one billion, one hundred sixty-two million, five hundred seventy-four thousand".