66113025000 has 384 divisors, whose sum is σ = 227505438720. Its totient is φ = 15876000000.

The previous prime is 66113024903. The next prime is 66113025001. The reversal of 66113025000 is 52031166.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (66113025001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104774685 + ... + 104775315.

It is an arithmetic number, because the mean of its divisors is an integer number (592462080).

Almost surely, 2^66113025000 is an apocalyptic number.

66113025000 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 66113025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113752719360).

66113025000 is an abundant number, since it is smaller than the sum of its proper divisors (161392413720).

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

66113025000 is a wasteful number, since it uses less digits than its factorization.

66113025000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 66113025000 its reverse (52031166), we get a palindrome (66165056166).

The spelling of 66113025000 in words is "sixty-six billion, one hundred thirteen million, twenty-five thousand".