35275383271872 has 224 divisors, whose sum is σ = 105192303874560. Its totient is φ = 11735061007104.

The previous prime is 35275383271867. The next prime is 35275383271883. The reversal of 35275383271872 is 27817238357253.

It is a happy number.

35275383271872 is a `hidden beast` number, since 3 + 5 + 2 + 7 + 538 + 3 + 27 + 1 + 8 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70153383 + ... + 70654425.

It is an arithmetic number, because the mean of its divisors is an integer number (469608499440).

Almost surely, 2^{35275383271872} is an apocalyptic number.

35275383271872 is a gapful number since it is divisible by the number (32) 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 35275383271872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52596151937280).

35275383271872 is an abundant number, since it is smaller than the sum of its proper divisors (69916920602688).

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

35275383271872 is an frugal number, since it uses more digits than its factorization.

35275383271872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501579 (or 501551 counting only the distinct ones).

The product of its digits is 118540800, while the sum is 63.

The spelling of 35275383271872 in words is "thirty-five trillion, two hundred seventy-five billion, three hundred eighty-three million, two hundred seventy-one thousand, eight hundred seventy-two".