172746267361880 has 256 divisors, whose sum is σ = 426457737216000. Its totient is φ = 62731981094400.

The previous prime is 172746267361643. The next prime is 172746267361901. The reversal of 172746267361880 is 88163762647271.

172746267361880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 172746267361880.

It is a congruent number.

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, 6703113395 + ... + 6703139165.

It is an arithmetic number, because the mean of its divisors is an integer number (1665850536000).

Almost surely, 2^{172746267361880} is an apocalyptic number.

172746267361880 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 172746267361880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213228868608000).

172746267361880 is an abundant number, since it is smaller than the sum of its proper divisors (253711469854120).

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

172746267361880 is a wasteful number, since it uses less digits than its factorization.

172746267361880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28598 (or 28594 counting only the distinct ones).

The product of its (nonzero) digits is 227598336, while the sum is 68.

The spelling of 172746267361880 in words is "one hundred seventy-two trillion, seven hundred forty-six billion, two hundred sixty-seven million, three hundred sixty-one thousand, eight hundred eighty".