35655668391168 has 1440 divisors, whose sum is σ = 137392795330560. Its totient is φ = 8958270504960.

The previous prime is 35655668391157. The next prime is 35655668391191. The reversal of 35655668391168 is 86119386655653.

35655668391168 is a `hidden beast` number, since 3 + 5 + 6 + 556 + 6 + 8 + 3 + 9 + 1 + 1 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 35655668391096 and 35655668391105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2218349980 + ... + 2218366052.

It is an arithmetic number, because the mean of its divisors is an integer number (95411663424).

Almost surely, 2^{35655668391168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35655668391168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68696397665280).

35655668391168 is an abundant number, since it is smaller than the sum of its proper divisors (101737126939392).

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

35655668391168 is a wasteful number, since it uses less digits than its factorization.

35655668391168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16185 (or 16162 counting only the distinct ones).

The product of its digits is 839808000, while the sum is 72.

The spelling of 35655668391168 in words is "thirty-five trillion, six hundred fifty-five billion, six hundred sixty-eight million, three hundred ninety-one thousand, one hundred sixty-eight".