35748168960 has 576 divisors, whose sum is σ = 135159091200. Its totient is φ = 7882997760.

The previous prime is 35748168913. The next prime is 35748168979. The reversal of 35748168960 is 6986184753.

It is a self number, because there is not a number n which added to its sum of digits gives 35748168960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179638941 + ... + 179639139.

It is an arithmetic number, because the mean of its divisors is an integer number (234651200).

Almost surely, 2^35748168960 is an apocalyptic number.

35748168960 is a gapful number since it is divisible by the number (30) 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 35748168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67579545600).

35748168960 is an abundant number, since it is smaller than the sum of its proper divisors (99410922240).

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

35748168960 is a wasteful number, since it uses less digits than its factorization.

35748168960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 35748168960 in words is "thirty-five billion, seven hundred forty-eight million, one hundred sixty-eight thousand, nine hundred sixty".