6552865440000 has 1440 divisors, whose sum is σ = 26792096284800. Its totient is φ = 1565982720000.

The previous prime is 6552865439983. The next prime is 6552865440007. The reversal of 6552865440000 is 445682556.

6552865440000 is a `hidden beast` number, since 6 + 552 + 8 + 6 + 54 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (6552865440007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3468959056 + ... + 3468960944.

It is an arithmetic number, because the mean of its divisors is an integer number (18605622420).

Almost surely, 2^{6552865440000} is an apocalyptic number.

6552865440000 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 6552865440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13396048142400).

6552865440000 is an abundant number, since it is smaller than the sum of its proper divisors (20239230844800).

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

6552865440000 is a wasteful number, since it uses less digits than its factorization.

6552865440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

It can be divided in two parts, 655286 and 5440000, that added together give a triangular number (6095286 = T₃₄₉₁).

The spelling of 6552865440000 in words is "six trillion, five hundred fifty-two billion, eight hundred sixty-five million, four hundred forty thousand".