172789465516416 has 576 divisors, whose sum is σ = 632177498309760. Its totient is φ = 44965534924800.

The previous prime is 172789465516379. The next prime is 172789465516441. The reversal of 172789465516416 is 614615564987271.

It is a happy number.

172789465516416 is a `hidden beast` number, since 1 + 7 + 2 + 7 + 8 + 9 + 4 + 6 + 551 + 64 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26843886 + ... + 32652306.

It is an arithmetic number, because the mean of its divisors is an integer number (1097530379010).

Almost surely, 2^{172789465516416} is an apocalyptic number.

172789465516416 is a gapful number since it is divisible by the number (16) 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 172789465516416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316088749154880).

172789465516416 is an abundant number, since it is smaller than the sum of its proper divisors (459388032793344).

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

172789465516416 is a wasteful number, since it uses less digits than its factorization.

172789465516416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5808503 (or 5808481 counting only the distinct ones).

The product of its digits is 609638400, while the sum is 72.

The spelling of 172789465516416 in words is "one hundred seventy-two trillion, seven hundred eighty-nine billion, four hundred sixty-five million, five hundred sixteen thousand, four hundred sixteen".