66125142300 has 216 divisors, whose sum is σ = 223623603840. Its totient is φ = 15041980800.

The previous prime is 66125142299. The next prime is 66125142359. The reversal of 66125142300 is 324152166.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3091041 + ... + 3112359.

Almost surely, 2^66125142300 is an apocalyptic number.

66125142300 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 66125142300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111811801920).

66125142300 is an abundant number, since it is smaller than the sum of its proper divisors (157498461540).

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

66125142300 is a wasteful number, since it uses less digits than its factorization.

66125142300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21561 (or 21547 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 66125142300 its reverse (324152166), we get a palindrome (66449294466).

The spelling of 66125142300 in words is "sixty-six billion, one hundred twenty-five million, one hundred forty-two thousand, three hundred".