10290519757456 has 45 divisors (see below), whose sum is σ = 21042972374601. Its totient is φ = 4874341243392.

The previous prime is 10290519757403. The next prime is 10290519757457. The reversal of 10290519757456 is 65475791509201.

The square root of 10290519757456 is 3207884.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8249050317456 + 2041469440000 = 2872116^2 + 1428800^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10290519757394 and 10290519757403.

It is not an unprimeable number, because it can be changed into a prime (10290519757457) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 243778080 + ... + 243820288.

Almost surely, 2^{10290519757456} is an apocalyptic number.

10290519757456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10290519757456 is the 3207884-th square number.

It is an amenable number.

10290519757456 is an abundant number, since it is smaller than the sum of its proper divisors (10752452617145).

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

10290519757456 is an frugal number, since it uses more digits than its factorization.

10290519757456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84464 (or 42230 counting only the distinct ones).

The product of its (nonzero) digits is 23814000, while the sum is 61.

The spelling of 10290519757456 in words is "ten trillion, two hundred ninety billion, five hundred nineteen million, seven hundred fifty-seven thousand, four hundred fifty-six".