10562631052050 has 864 divisors, whose sum is σ = 37616602383360. Its totient is φ = 2063610489600.

The previous prime is 10562631052049. The next prime is 10562631052063. The reversal of 10562631052050 is 5025013626501.

10562631052050 is a `hidden beast` number, since 1 + 0 + 5 + 62 + 63 + 10 + 520 + 5 + 0 = 666.

It is a super-2 number, since 2×10562631052050² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10562631051996 and 10562631052014.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1081456267 + ... + 1081466033.

It is an arithmetic number, because the mean of its divisors is an integer number (43537734240).

Almost surely, 2^{10562631052050} is an apocalyptic number.

10562631052050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10562631052050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18808301191680).

10562631052050 is an abundant number, since it is smaller than the sum of its proper divisors (27053971331310).

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

10562631052050 is a wasteful number, since it uses less digits than its factorization.

10562631052050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9908 (or 9877 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 10562631052050 its reverse (5025013626501), we get a palindrome (15587644678551).

The spelling of 10562631052050 in words is "ten trillion, five hundred sixty-two billion, six hundred thirty-one million, fifty-two thousand, fifty".