10636421120 has 96 divisors (see below), whose sum is σ = 27484689960. Its totient is φ = 3927244800.

The previous prime is 10636421101. The next prime is 10636421137. The reversal of 10636421120 is 2112463601.

It can be written as a sum of positive squares in 4 ways, for example, as 5756560384 + 4879860736 = 75872^2 + 69856^2 .

It is a super-2 number, since 2×10636421120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 10636421120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93170 + ... + 173070.

Almost surely, 2^10636421120 is an apocalyptic number.

10636421120 is a gapful number since it is divisible by the number (10) 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 10636421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13742344980).

10636421120 is an abundant number, since it is smaller than the sum of its proper divisors (16848268840).

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

10636421120 is an equidigital number, since it uses as much as digits as its factorization.

10636421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79941 (or 79921 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 10636421120 its reverse (2112463601), we get a palindrome (12748884721).

The spelling of 10636421120 in words is "ten billion, six hundred thirty-six million, four hundred twenty-one thousand, one hundred twenty".