172262010960 has 480 divisors, whose sum is σ = 644543568000. Its totient is φ = 42268262400.

The previous prime is 172262010941. The next prime is 172262010979. The reversal of 172262010960 is 69010262271.

172262010960 is a `hidden beast` number, since 1 + 7 + 22 + 620 + 1 + 0 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (172262010941) and next prime (172262010979).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 163902435 + ... + 163903485.

It is an arithmetic number, because the mean of its divisors is an integer number (1342799100).

Almost surely, 2^172262010960 is an apocalyptic number.

172262010960 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 172262010960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322271784000).

172262010960 is an abundant number, since it is smaller than the sum of its proper divisors (472281557040).

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

172262010960 is a wasteful number, since it uses less digits than its factorization.

172262010960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 172262010960 in words is "one hundred seventy-two billion, two hundred sixty-two million, ten thousand, nine hundred sixty".