35656869480960 has 2560 divisors, whose sum is σ = 149013182545920. Its totient is φ = 7073464320000.

The previous prime is 35656869480887. The next prime is 35656869480961. The reversal of 35656869480960 is 6908496865653.

It is a tau number, because it is divible by the number of its divisors (2560).

It is not an unprimeable number, because it can be changed into a prime (35656869480961) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 142059240835 + ... + 142059241085.

It is an arithmetic number, because the mean of its divisors is an integer number (58208274432).

Almost surely, 2^{35656869480960} is an apocalyptic number.

35656869480960 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 35656869480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74506591272960).

35656869480960 is an abundant number, since it is smaller than the sum of its proper divisors (113356313064960).

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

35656869480960 is a wasteful number, since it uses less digits than its factorization.

35656869480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 2015539200, while the sum is 75.

The spelling of 35656869480960 in words is "thirty-five trillion, six hundred fifty-six billion, eight hundred sixty-nine million, four hundred eighty thousand, nine hundred sixty".