6557549040000 has 2880 divisors, whose sum is σ = 29918243097600. Its totient is φ = 1344936960000.

The previous prime is 6557549039999. The next prime is 6557549040037. The reversal of 6557549040000 is 409457556.

6557549040000 is a `hidden beast` number, since 6 + 55 + 75 + 490 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 139522319977 + ... + 139522320023.

Almost surely, 2^{6557549040000} is an apocalyptic number.

6557549040000 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 6557549040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14959121548800).

6557549040000 is an abundant number, since it is smaller than the sum of its proper divisors (23360694057600).

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

6557549040000 is a wasteful number, since it uses less digits than its factorization.

6557549040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 6557549040000 in words is "six trillion, five hundred fifty-seven billion, five hundred forty-nine million, forty thousand".