10045310522000 has 320 divisors, whose sum is σ = 27084960826560. Its totient is φ = 3577835520000.

The previous prime is 10045310521973. The next prime is 10045310522057. The reversal of 10045310522000 is 22501354001.

It can be written as a sum of positive squares in 32 ways, for example, as 9674687693056 + 370622828944 = 3110416^2 + 608788^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 905548454 + ... + 905559546.

It is an arithmetic number, because the mean of its divisors is an integer number (84640502583).

Almost surely, 2^{10045310522000} is an apocalyptic number.

10045310522000 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 10045310522000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13542480413280).

10045310522000 is an abundant number, since it is smaller than the sum of its proper divisors (17039650304560).

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

10045310522000 is a wasteful number, since it uses less digits than its factorization.

10045310522000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12359 (or 12343 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 10045310522000 its reverse (22501354001), we get a palindrome (10067811876001).

The spelling of 10045310522000 in words is "ten trillion, forty-five billion, three hundred ten million, five hundred twenty-two thousand".