10035957889692 has 144 divisors (see below), whose sum is σ = 30313476910080. Its totient is φ = 2737292684544.

The previous prime is 10035957889627. The next prime is 10035957889843. The reversal of 10035957889692 is 29698875953001.

10035957889692 is a `hidden beast` number, since 10 + 0 + 35 + 9 + 578 + 8 + 9 + 6 + 9 + 2 = 666.

It is a super-2 number, since 2×10035957889692² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10035957889692.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1194184 + ... + 4636592.

It is an arithmetic number, because the mean of its divisors is an integer number (210510256320).

Almost surely, 2^{10035957889692} is an apocalyptic number.

10035957889692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10035957889692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15156738455040).

10035957889692 is an abundant number, since it is smaller than the sum of its proper divisors (20277519020388).

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

10035957889692 is a wasteful number, since it uses less digits than its factorization.

10035957889692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3442952 (or 3442947 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 72.

Adding to 10035957889692 its sum of digits (72), we get a square (10035957889764 = 3167958²).

The spelling of 10035957889692 in words is "ten trillion, thirty-five billion, nine hundred fifty-seven million, eight hundred eighty-nine thousand, six hundred ninety-two".