172601356953088 has 320 divisors, whose sum is σ = 404567856000000. Its totient is φ = 73533250732032.

The previous prime is 172601356953083. The next prime is 172601356953161. The reversal of 172601356953088 is 880359653106271.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172601356953083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23047313248 + ... + 23047320736.

It is an arithmetic number, because the mean of its divisors is an integer number (1264274550000).

Almost surely, 2^{172601356953088} 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 172601356953088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202283928000000).

172601356953088 is an abundant number, since it is smaller than the sum of its proper divisors (231966499046912).

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

172601356953088 is an frugal number, since it uses more digits than its factorization.

172601356953088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8290 (or 8260 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 64.

The spelling of 172601356953088 in words is "one hundred seventy-two trillion, six hundred one billion, three hundred fifty-six million, nine hundred fifty-three thousand, eighty-eight".