35681082655680 has 3360 divisors, whose sum is σ = 179541812355840. Its totient is φ = 6610013061120.

The previous prime is 35681082655679. The next prime is 35681082655759. The reversal of 35681082655680 is 8655628018653.

35681082655680 is a `hidden beast` number, since 3 + 5 + 6 + 8 + 1 + 0 + 8 + 2 + 65 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4512590287 + ... + 4512598193.

Almost surely, 2^{35681082655680} is an apocalyptic number.

35681082655680 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 35681082655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89770906177920).

35681082655680 is an abundant number, since it is smaller than the sum of its proper divisors (143860729700160).

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

35681082655680 is a wasteful number, since it uses less digits than its factorization.

35681082655680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7997 (or 7971 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 35681082655680 in words is "thirty-five trillion, six hundred eighty-one billion, eighty-two million, six hundred fifty-five thousand, six hundred eighty".