172260702903960 has 768 divisors, whose sum is σ = 648506128636800. Its totient is φ = 40612711772160.

The previous prime is 172260702903893. The next prime is 172260702903977. The reversal of 172260702903960 is 69309207062271.

172260702903960 is a `hidden beast` number, since 1 + 7 + 2 + 2 + 607 + 0 + 29 + 0 + 3 + 9 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 172260702903897 and 172260702903906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12363497154 + ... + 12363511086.

Almost surely, 2^{172260702903960} is an apocalyptic number.

172260702903960 is a gapful number since it is divisible by the number (10) 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 172260702903960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324253064318400).

172260702903960 is an abundant number, since it is smaller than the sum of its proper divisors (476245425732840).

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

172260702903960 is a wasteful number, since it uses less digits than its factorization.

172260702903960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16569 (or 16548 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 172260702903960 in words is "one hundred seventy-two trillion, two hundred sixty billion, seven hundred two million, nine hundred three thousand, nine hundred sixty".