61066595520 has 448 divisors, whose sum is σ = 249341030400. Its totient is φ = 13780316160.

The previous prime is 61066595503. The next prime is 61066595531. The reversal of 61066595520 is 2559566016.

61066595520 is a `hidden beast` number, since 6 + 1 + 0 + 6 + 6 + 595 + 52 + 0 = 666.

61066595520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4771530 + ... + 4784310.

It is an arithmetic number, because the mean of its divisors is an integer number (556564800).

Almost surely, 2^61066595520 is an apocalyptic number.

61066595520 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 61066595520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124670515200).

61066595520 is an abundant number, since it is smaller than the sum of its proper divisors (188274434880).

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

61066595520 is a wasteful number, since it uses less digits than its factorization.

61066595520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12893 (or 12877 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 61066595520 in words is "sixty-one billion, sixty-six million, five hundred ninety-five thousand, five hundred twenty".