10635220992 has 96 divisors (see below), whose sum is σ = 30931467840. Its totient is φ = 3222773760.

The previous prime is 10635220969. The next prime is 10635220993. The reversal of 10635220992 is 29902253601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10635220992² (a number of 21 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 10635220992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10635220993) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11098 + ... + 146265.

It is an arithmetic number, because the mean of its divisors is an integer number (322202790).

Almost surely, 2^10635220992 is an apocalyptic number.

10635220992 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 10635220992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15465733920).

10635220992 is an abundant number, since it is smaller than the sum of its proper divisors (20296246848).

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

10635220992 is a wasteful number, since it uses less digits than its factorization.

10635220992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157399 (or 157379 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 10635220992 in words is "ten billion, six hundred thirty-five million, two hundred twenty thousand, nine hundred ninety-two".