172774000788480 has 5632 divisors, whose sum is σ = 831953203200000. Its totient is φ = 33000681111552.

The previous prime is 172774000788427. The next prime is 172774000788527. The reversal of 172774000788480 is 84887000477271.

172774000788480 is a `hidden beast` number, since 1 + 7 + 2 + 7 + 7 + 400 + 0 + 78 + 84 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 495054443346 + ... + 495054443694.

Almost surely, 2^{172774000788480} is an apocalyptic number.

172774000788480 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 172774000788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415976601600000).

172774000788480 is an abundant number, since it is smaller than the sum of its proper divisors (659179202411520).

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

172774000788480 is a wasteful number, since it uses less digits than its factorization.

172774000788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 39337984, while the sum is 63.

The spelling of 172774000788480 in words is "one hundred seventy-two trillion, seven hundred seventy-four billion, seven hundred eighty-eight thousand, four hundred eighty".