10490188800 has 1056 divisors, whose sum is σ = 45485977600. Its totient is φ = 2070282240.

The previous prime is 10490188771. The next prime is 10490188801. The reversal of 10490188800 is 888109401.

It is a happy number.

It is a super-2 number, since 2×10490188800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10490188801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132787161 + ... + 132787239.

Almost surely, 2^10490188800 is an apocalyptic number.

10490188800 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 10490188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22742988800).

10490188800 is an abundant number, since it is smaller than the sum of its proper divisors (34995788800).

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

10490188800 is a wasteful number, since it uses less digits than its factorization.

10490188800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The spelling of 10490188800 in words is "ten billion, four hundred ninety million, one hundred eighty-eight thousand, eight hundred".