66456054561000 has 256 divisors, whose sum is σ = 224790969312000. Its totient is φ = 16248624000000.

The previous prime is 66456054560989. The next prime is 66456054561073. The reversal of 66456054561000 is 16545065466.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92875 + ... + 11529125.

It is an arithmetic number, because the mean of its divisors is an integer number (878089723875).

Almost surely, 2^{66456054561000} is an apocalyptic number.

66456054561000 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 66456054561000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112395484656000).

66456054561000 is an abundant number, since it is smaller than the sum of its proper divisors (158334914751000).

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

66456054561000 is a wasteful number, since it uses less digits than its factorization.

66456054561000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11436437 (or 11436423 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 66456054561000 in words is "sixty-six trillion, four hundred fifty-six billion, fifty-four million, five hundred sixty-one thousand".