6511066160400 has 180 divisors, whose sum is σ = 22604001666480. Its totient is φ = 1735608595200.

The previous prime is 6511066160399. The next prime is 6511066160411. The reversal of 6511066160400 is 40616601156.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8933755 + ... + 9635045.

It is an arithmetic number, because the mean of its divisors is an integer number (125577787036).

Almost surely, 2^{6511066160400} is an apocalyptic number.

6511066160400 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 6511066160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11302000833240).

6511066160400 is an abundant number, since it is smaller than the sum of its proper divisors (16092935506080).

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

6511066160400 is a wasteful number, since it uses less digits than its factorization.

6511066160400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703894 (or 703880 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 6511066160400 in words is "six trillion, five hundred eleven billion, sixty-six million, one hundred sixty thousand, four hundred".