10490889552 has 320 divisors, whose sum is σ = 33597849600. Its totient is φ = 2776780800.

The previous prime is 10490889551. The next prime is 10490889553. The reversal of 10490889552 is 25598809401.

It is an interprime number because it is at equal distance from previous prime (10490889551) and next prime (10490889553).

It is a super-2 number, since 2×10490889552² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10490889495 and 10490889504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10490889551) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10000324 + ... + 10001372.

It is an arithmetic number, because the mean of its divisors is an integer number (104993280).

Almost surely, 2^10490889552 is an apocalyptic number.

10490889552 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 10490889552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16798924800).

10490889552 is an abundant number, since it is smaller than the sum of its proper divisors (23106960048).

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

10490889552 is a wasteful number, since it uses less digits than its factorization.

10490889552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 51.

The spelling of 10490889552 in words is "ten billion, four hundred ninety million, eight hundred eighty-nine thousand, five hundred fifty-two".