172850000107680 has 1536 divisors, whose sum is σ = 738261651456000. Its totient is φ = 36893922508800.

The previous prime is 172850000107667. The next prime is 172850000107769. The reversal of 172850000107680 is 86701000058271.

It is a happy number.

172850000107680 is a `hidden beast` number, since 1 + 72 + 8 + 500 + 0 + 0 + 1 + 0 + 76 + 8 + 0 = 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 255 ways as a sum of consecutive naturals, for example, 13288991737 + ... + 13289004743.

It is an arithmetic number, because the mean of its divisors is an integer number (480639096000).

Almost surely, 2^{172850000107680} is an apocalyptic number.

172850000107680 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 172850000107680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369130825728000).

172850000107680 is an abundant number, since it is smaller than the sum of its proper divisors (565411651348320).

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

172850000107680 is a wasteful number, since it uses less digits than its factorization.

172850000107680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13387 (or 13373 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 172850000107680 in words is "one hundred seventy-two trillion, eight hundred fifty billion, one hundred seven thousand, six hundred eighty".