35213905272 has 384 divisors, whose sum is σ = 113096390400. Its totient is φ = 9054001152.

The previous prime is 35213905241. The next prime is 35213905291. The reversal of 35213905272 is 27250931253.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 35213905272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155127223 + ... + 155127449.

It is an arithmetic number, because the mean of its divisors is an integer number (294521850).

Almost surely, 2^35213905272 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 35213905272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56548195200).

35213905272 is an abundant number, since it is smaller than the sum of its proper divisors (77882485128).

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

35213905272 is a wasteful number, since it uses less digits than its factorization.

35213905272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The spelling of 35213905272 in words is "thirty-five billion, two hundred thirteen million, nine hundred five thousand, two hundred seventy-two".