66550248000 has 280 divisors, whose sum is σ = 246202574904. Its totient is φ = 17746560000.

The previous prime is 66550247999. The next prime is 66550248001. The reversal of 66550248000 is 84205566.

66550248000 is a `hidden beast` number, since 6 + 6 + 550 + 24 + 80 + 0 + 0 = 666.

66550248000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66550247999) and next prime (66550248001).

It can be written as a sum of positive squares in 4 ways, for example, as 1916338176 + 64633909824 = 43776^2 + 254232^2 .

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

It is not an unprimeable number, because it can be changed into a prime (66550248001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 596650 + ... + 699350.

Almost surely, 2^66550248000 is an apocalyptic number.

66550248000 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 66550248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123101287452).

66550248000 is an abundant number, since it is smaller than the sum of its proper divisors (179652326904).

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

66550248000 is a wasteful number, since it uses less digits than its factorization.

66550248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102740 (or 102711 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 66550248000 in words is "sixty-six billion, five hundred fifty million, two hundred forty-eight thousand".