66054113280 has 480 divisors, whose sum is σ = 239490571320. Its totient is φ = 17411604480.

The previous prime is 66054113273. The next prime is 66054113311. The reversal of 66054113280 is 8231145066.

It is a happy number.

66054113280 is a `hidden beast` number, since 6 + 6 + 0 + 541 + 1 + 32 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44564898816 + 21489214464 = 211104^2 + 146592^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80455270 + ... + 80456090.

Almost surely, 2^66054113280 is an apocalyptic number.

66054113280 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 66054113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119745285660).

66054113280 is an abundant number, since it is smaller than the sum of its proper divisors (173436458040).

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

66054113280 is an equidigital number, since it uses as much as digits as its factorization.

66054113280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

It can be divided in two parts, 6605 and 4113280, that added together give a triangular number (4119885 = T₂₈₇₀).

The spelling of 66054113280 in words is "sixty-six billion, fifty-four million, one hundred thirteen thousand, two hundred eighty".