66125430306400 has 288 divisors, whose sum is σ = 174436322860800. Its totient is φ = 24396538521600.

The previous prime is 66125430306389. The next prime is 66125430306413. The reversal of 66125430306400 is 460303452166.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203106946 + ... + 203432254.

It is an arithmetic number, because the mean of its divisors is an integer number (605681676600).

Almost surely, 2^{66125430306400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66125430306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87218161430400).

66125430306400 is an abundant number, since it is smaller than the sum of its proper divisors (108310892554400).

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

66125430306400 is a wasteful number, since it uses less digits than its factorization.

66125430306400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325702 (or 325689 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

Adding to 66125430306400 its reverse (460303452166), we get a palindrome (66585733758566).

The spelling of 66125430306400 in words is "sixty-six trillion, one hundred twenty-five billion, four hundred thirty million, three hundred six thousand, four hundred".