35313505384872 has 512 divisors, whose sum is σ = 107519879577600. Its totient is φ = 9521183232000.

The previous prime is 35313505384837. The next prime is 35313505384891. The reversal of 35313505384872 is 27848350531353.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7612307529 + ... + 7612312167.

It is an arithmetic number, because the mean of its divisors is an integer number (209999764800).

Almost surely, 2^{35313505384872} 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 35313505384872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53759939788800).

35313505384872 is an abundant number, since it is smaller than the sum of its proper divisors (72206374192728).

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

35313505384872 is a wasteful number, since it uses less digits than its factorization.

35313505384872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5257 (or 5253 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 57.

The spelling of 35313505384872 in words is "thirty-five trillion, three hundred thirteen billion, five hundred five million, three hundred eighty-four thousand, eight hundred seventy-two".