10380221749800 has 1440 divisors, whose sum is σ = 44818779238200. Its totient is φ = 2212255825920.

The previous prime is 10380221749727. The next prime is 10380221749801. The reversal of 10380221749800 is 894712208301.

It is a happy number.

10380221749800 is a `hidden beast` number, since 1 + 0 + 380 + 22 + 174 + 9 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 6171955172964 + 4208266576836 = 2484342^2 + 2051406^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10380221749801) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1470907872 + ... + 1470914928.

Almost surely, 2^{10380221749800} is an apocalyptic number.

10380221749800 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 10380221749800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22409389619100).

10380221749800 is an abundant number, since it is smaller than the sum of its proper divisors (34438557488400).

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

10380221749800 is a wasteful number, since it uses less digits than its factorization.

10380221749800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7225 (or 7200 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10380221749800 in words is "ten trillion, three hundred eighty billion, two hundred twenty-one million, seven hundred forty-nine thousand, eight hundred".