35516420632 has 128 divisors (see below), whose sum is σ = 84755289600. Its totient is φ = 13550284800.

The previous prime is 35516420609. The next prime is 35516420651. The reversal of 35516420632 is 23602461553.

It is a super-2 number, since 2×35516420632² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 35516420591 and 35516420600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30329407 + ... + 30330577.

It is an arithmetic number, because the mean of its divisors is an integer number (662150700).

Almost surely, 2^35516420632 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 35516420632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42377644800).

35516420632 is an abundant number, since it is smaller than the sum of its proper divisors (49238868968).

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

35516420632 is a wasteful number, since it uses less digits than its factorization.

35516420632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 35516420632 in words is "thirty-five billion, five hundred sixteen million, four hundred twenty thousand, six hundred thirty-two".