66157145003200 has 168 divisors, whose sum is σ = 164649614385152. Its totient is φ = 26161694254080.

The previous prime is 66157145003149. The next prime is 66157145003207. The reversal of 66157145003200 is 230054175166.

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

It is not an unprimeable number, because it can be changed into a prime (66157145003207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56930377 + ... + 58080823.

Almost surely, 2^{66157145003200} 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 66157145003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82324807192576).

66157145003200 is an abundant number, since it is smaller than the sum of its proper divisors (98492469381952).

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

66157145003200 is a wasteful number, since it uses less digits than its factorization.

66157145003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150879 (or 1150864 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

Adding to 66157145003200 its reverse (230054175166), we get a palindrome (66387199178366).

The spelling of 66157145003200 in words is "sixty-six trillion, one hundred fifty-seven billion, one hundred forty-five million, three thousand, two hundred".