35089669938672 has 280 divisors, whose sum is σ = 102667116384000. Its totient is φ = 11612364747264.

The previous prime is 35089669938649. The next prime is 35089669938703. The reversal of 35089669938672 is 27683996698053.

35089669938672 is a `hidden beast` number, since 3 + 5 + 0 + 89 + 6 + 6 + 99 + 386 + 72 = 666.

It is a super-2 number, since 2×35089669938672² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 35089669938591 and 35089669938600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5003514238 + ... + 5003521250.

It is an arithmetic number, because the mean of its divisors is an integer number (366668272800).

Almost surely, 2^{35089669938672} 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 35089669938672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51333558192000).

35089669938672 is an abundant number, since it is smaller than the sum of its proper divisors (67577446445328).

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

35089669938672 is a wasteful number, since it uses less digits than its factorization.

35089669938672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10067 (or 10046 counting only the distinct ones).

The product of its (nonzero) digits is 6348948480, while the sum is 81.

The spelling of 35089669938672 in words is "thirty-five trillion, eighty-nine billion, six hundred sixty-nine million, nine hundred thirty-eight thousand, six hundred seventy-two".