10636381900800 has 780 divisors, whose sum is σ = 40361960755116. Its totient is φ = 2767100313600.

The previous prime is 10636381900799. The next prime is 10636381900801. The reversal of 10636381900800 is 800918363601.

It is a happy number.

10636381900800 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 638 + 1 + 9 + 0 + 0 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10636381900799) and next prime (10636381900801).

It can be written as a sum of positive squares in 6 ways, for example, as 1488321921024 + 9148059979776 = 1219968^2 + 3024576^2 .

It is a super-2 number, since 2×10636381900800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10636381900801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 340054762 + ... + 340086038.

Almost surely, 2^{10636381900800} is an apocalyptic number.

10636381900800 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 10636381900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20180980377558).

10636381900800 is an abundant number, since it is smaller than the sum of its proper divisors (29725578854316).

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

10636381900800 is an equidigital number, since it uses as much as digits as its factorization.

10636381900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31364 (or 31328 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 10636381900800 in words is "ten trillion, six hundred thirty-six billion, three hundred eighty-one million, nine hundred thousand, eight hundred".