10111257640 has 64 divisors (see below), whose sum is σ = 25423917120. Its totient is φ = 3587136000.

The previous prime is 10111257601. The next prime is 10111257641. The reversal of 10111257640 is 4675211101.

It is a junction number, because it is equal to n+sod(n) for n = 10111257599 and 10111257608.

It is not an unprimeable number, because it can be changed into a prime (10111257641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262206 + ... + 298285.

It is an arithmetic number, because the mean of its divisors is an integer number (397248705).

Almost surely, 2^10111257640 is an apocalyptic number.

10111257640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111257640 is an abundant number, since it is smaller than the sum of its proper divisors (15312659480).

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

10111257640 is a wasteful number, since it uses less digits than its factorization.

10111257640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560554 (or 560550 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

Adding to 10111257640 its reverse (4675211101), we get a palindrome (14786468741).

The spelling of 10111257640 in words is "ten billion, one hundred eleven million, two hundred fifty-seven thousand, six hundred forty".