172898415056640 has 1152 divisors, whose sum is σ = 689434986240000. Its totient is φ = 35956815298560.

The previous prime is 172898415056639. The next prime is 172898415056681. The reversal of 172898415056640 is 46650514898271.

172898415056640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 6820706686 + ... + 6820732034.

It is an arithmetic number, because the mean of its divisors is an integer number (598467870000).

Almost surely, 2^{172898415056640} is an apocalyptic number.

172898415056640 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 172898415056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344717493120000).

172898415056640 is an abundant number, since it is smaller than the sum of its proper divisors (516536571183360).

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

172898415056640 is a wasteful number, since it uses less digits than its factorization.

172898415056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25673 (or 25659 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 66.

The spelling of 172898415056640 in words is "one hundred seventy-two trillion, eight hundred ninety-eight billion, four hundred fifteen million, fifty-six thousand, six hundred forty".