95532129171072 has 640 divisors, whose sum is σ = 321039993415680. Its totient is φ = 27944779161600.

The previous prime is 95532129170999. The next prime is 95532129171077. The reversal of 95532129171072 is 27017192123559.

95532129171072 is a `hidden beast` number, since 9 + 5 + 532 + 1 + 2 + 91 + 7 + 10 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (95532129171077) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 535822422 + ... + 536000682.

It is an arithmetic number, because the mean of its divisors is an integer number (501624989712).

Almost surely, 2^{95532129171072} 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 95532129171072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160519996707840).

95532129171072 is an abundant number, since it is smaller than the sum of its proper divisors (225507864244608).

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

95532129171072 is a wasteful number, since it uses less digits than its factorization.

95532129171072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178462 (or 178441 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The spelling of 95532129171072 in words is "ninety-five trillion, five hundred thirty-two billion, one hundred twenty-nine million, one hundred seventy-one thousand, seventy-two".