35142610000 has 100 divisors (see below), whose sum is σ = 87063530752. Its totient is φ = 13729968000.

The previous prime is 35142609979. The next prime is 35142610033. The reversal of 35142610000 is 1624153.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×35142610000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 389137 + ... + 470863.

Almost surely, 2^35142610000 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 35142610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43531765376).

35142610000 is an abundant number, since it is smaller than the sum of its proper divisors (51920920752).

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

35142610000 is an equidigital number, since it uses as much as digits as its factorization.

35142610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81798 (or 81777 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The spelling of 35142610000 in words is "thirty-five billion, one hundred forty-two million, six hundred ten thousand".