66125948406 has 128 divisors (see below), whose sum is σ = 161737482240. Its totient is φ = 17603308800.

The previous prime is 66125948363. The next prime is 66125948411. The reversal of 66125948406 is 60484952166.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27817890 + ... + 27820266.

It is an arithmetic number, because the mean of its divisors is an integer number (1263574080).

Almost surely, 2^66125948406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66125948406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80868741120).

66125948406 is an abundant number, since it is smaller than the sum of its proper divisors (95611533834).

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

66125948406 is a wasteful number, since it uses less digits than its factorization.

66125948406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970.

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 66125948406 in words is "sixty-six billion, one hundred twenty-five million, nine hundred forty-eight thousand, four hundred six".