66054200256 has 168 divisors, whose sum is σ = 211348710144. Its totient is φ = 19550845440.

The previous prime is 66054200249. The next prime is 66054200257. The reversal of 66054200256 is 65200245066.

66054200256 is a `hidden beast` number, since 6 + 60 + 542 + 0 + 0 + 2 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 66054200256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66054200257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151225 + ... + 393671.

Almost surely, 2^66054200256 is an apocalyptic number.

66054200256 is a gapful number since it is divisible by the number (66) 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 66054200256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105674355072).

66054200256 is an abundant number, since it is smaller than the sum of its proper divisors (145294509888).

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

66054200256 is a wasteful number, since it uses less digits than its factorization.

66054200256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242519 (or 242506 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 66054200256 in words is "sixty-six billion, fifty-four million, two hundred thousand, two hundred fifty-six".