10145322880 has 512 divisors, whose sum is σ = 32431104000. Its totient is φ = 2941747200.

The previous prime is 10145322877. The next prime is 10145322881. The reversal of 10145322880 is 8822354101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145322881) 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, 44302606 + ... + 44302834.

It is an arithmetic number, because the mean of its divisors is an integer number (63342000).

Almost surely, 2^10145322880 is an apocalyptic number.

10145322880 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 10145322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16215552000).

10145322880 is an abundant number, since it is smaller than the sum of its proper divisors (22285781120).

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

10145322880 is a wasteful number, since it uses less digits than its factorization.

10145322880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

Adding to 10145322880 its reverse (8822354101), we get a palindrome (18967676981).

The spelling of 10145322880 in words is "ten billion, one hundred forty-five million, three hundred twenty-two thousand, eight hundred eighty".