10161779782752 has 480 divisors, whose sum is σ = 33397053338880. Its totient is φ = 3010943093760.

The previous prime is 10161779782723. The next prime is 10161779782771. The reversal of 10161779782752 is 25728797716101.

10161779782752 is a `hidden beast` number, since 1 + 0 + 1 + 617 + 7 + 9 + 7 + 8 + 2 + 7 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10161779782752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 102824499 + ... + 102923277.

It is an arithmetic number, because the mean of its divisors is an integer number (69577194456).

Almost surely, 2^{10161779782752} is an apocalyptic number.

10161779782752 is a gapful number since it is divisible by the number (12) 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 10161779782752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16698526669440).

10161779782752 is an abundant number, since it is smaller than the sum of its proper divisors (23235273556128).

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

10161779782752 is a wasteful number, since it uses less digits than its factorization.

10161779782752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98928 (or 98911 counting only the distinct ones).

The product of its (nonzero) digits is 20744640, while the sum is 63.

The spelling of 10161779782752 in words is "ten trillion, one hundred sixty-one billion, seven hundred seventy-nine million, seven hundred eighty-two thousand, seven hundred fifty-two".