172402312680 has 256 divisors, whose sum is σ = 622466208000. Its totient is φ = 42191594496.

The previous prime is 172402312673. The next prime is 172402312703. The reversal of 172402312680 is 86213204271.

It is a happy number.

172402312680 is a `hidden beast` number, since 172 + 402 + 3 + 1 + 2 + 6 + 80 = 666.

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

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, 2393431 + ... + 2464409.

It is an arithmetic number, because the mean of its divisors is an integer number (2431508625).

Almost surely, 2^172402312680 is an apocalyptic number.

172402312680 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 172402312680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311233104000).

172402312680 is an abundant number, since it is smaller than the sum of its proper divisors (450063895320).

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

172402312680 is a wasteful number, since it uses less digits than its factorization.

172402312680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71185 (or 71175 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 172402312680 in words is "one hundred seventy-two billion, four hundred two million, three hundred twelve thousand, six hundred eighty".