172217056150080 has 280 divisors, whose sum is σ = 612950112468672. Its totient is φ = 45898779091968.

The previous prime is 172217056150057. The next prime is 172217056150147. The reversal of 172217056150080 is 80051650712271.

172217056150080 is a `hidden beast` number, since 1 + 7 + 2 + 2 + 1 + 7 + 0 + 5 + 61 + 500 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44352159 + ... + 48078561.

Almost surely, 2^{172217056150080} is an apocalyptic number.

172217056150080 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 172217056150080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306475056234336).

172217056150080 is an abundant number, since it is smaller than the sum of its proper divisors (440733056318592).

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

172217056150080 is a wasteful number, since it uses less digits than its factorization.

172217056150080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728215 (or 3728196 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 172217056150080 in words is "one hundred seventy-two trillion, two hundred seventeen billion, fifty-six million, one hundred fifty thousand, eighty".