35350170166872 has 192 divisors, whose sum is σ = 108324630610560. Its totient is φ = 10710920563200.

The previous prime is 35350170166837. The next prime is 35350170166873. The reversal of 35350170166872 is 27866107105353.

35350170166872 is a `hidden beast` number, since 3 + 5 + 3 + 501 + 7 + 0 + 1 + 6 + 68 + 72 = 666.

It is a super-3 number, since 3×35350170166872³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35350170166873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191743728 + ... + 191928000.

It is an arithmetic number, because the mean of its divisors is an integer number (564190784430).

Almost surely, 2^{35350170166872} 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 35350170166872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54162315305280).

35350170166872 is an abundant number, since it is smaller than the sum of its proper divisors (72974460443688).

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

35350170166872 is a wasteful number, since it uses less digits than its factorization.

35350170166872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193276 (or 193260 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 35350170166872 in words is "thirty-five trillion, three hundred fifty billion, one hundred seventy million, one hundred sixty-six thousand, eight hundred seventy-two".