35375113579806 has 192 divisors, whose sum is σ = 103370910289920. Its totient is φ = 8443510917120.

The previous prime is 35375113579783. The next prime is 35375113579823. The reversal of 35375113579806 is 60897531157353.

It is a happy number.

35375113579806 is a `hidden beast` number, since 3 + 5 + 3 + 7 + 51 + 1 + 3 + 579 + 8 + 0 + 6 = 666.

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 95 ways as a sum of consecutive naturals, for example, 384051 + ... + 8420078.

It is an arithmetic number, because the mean of its divisors is an integer number (538390157760).

Almost surely, 2^{35375113579806} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35375113579806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51685455144960).

35375113579806 is an abundant number, since it is smaller than the sum of its proper divisors (67995796710114).

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

35375113579806 is a wasteful number, since it uses less digits than its factorization.

35375113579806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8804391 (or 8804388 counting only the distinct ones).

The product of its (nonzero) digits is 71442000, while the sum is 63.

The spelling of 35375113579806 in words is "thirty-five trillion, three hundred seventy-five billion, one hundred thirteen million, five hundred seventy-nine thousand, eight hundred six".