35052414100 has 216 divisors, whose sum is σ = 88529208768. Its totient is φ = 11944281600.

The previous prime is 35052414077. The next prime is 35052414127. The reversal of 35052414100 is 141425053.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 71 ways as a sum of consecutive naturals, for example, 40900872 + ... + 40901728.

It is an arithmetic number, because the mean of its divisors is an integer number (409857448).

Almost surely, 2^35052414100 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 35052414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44264604384).

35052414100 is an abundant number, since it is smaller than the sum of its proper divisors (53476794668).

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

35052414100 is a wasteful number, since it uses less digits than its factorization.

35052414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 35052414100 its reverse (141425053), we get a palindrome (35193839153).

The spelling of 35052414100 in words is "thirty-five billion, fifty-two million, four hundred fourteen thousand, one hundred".