172635048768 has 448 divisors, whose sum is σ = 587603681280. Its totient is φ = 43516182528.

The previous prime is 172635048757. The next prime is 172635048779. The reversal of 172635048768 is 867840536271.

It is an interprime number because it is at equal distance from previous prime (172635048757) and next prime (172635048779).

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35308468 + ... + 35313356.

It is an arithmetic number, because the mean of its divisors is an integer number (1311615360).

Almost surely, 2^172635048768 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 172635048768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293801840640).

172635048768 is an abundant number, since it is smaller than the sum of its proper divisors (414968632512).

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

172635048768 is a wasteful number, since it uses less digits than its factorization.

172635048768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5014 (or 5004 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 172635048768 in words is "one hundred seventy-two billion, six hundred thirty-five million, forty-eight thousand, seven hundred sixty-eight".