10821577456 has 40 divisors (see below), whose sum is σ = 21512435120. Its totient is φ = 5270662656.

The previous prime is 10821577421. The next prime is 10821577457. The reversal of 10821577456 is 65477512801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10821577457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235540 + ... + 277708.

It is an arithmetic number, because the mean of its divisors is an integer number (537810878).

Almost surely, 2^10821577456 is an apocalyptic number.

10821577456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10821577456 is a deficient number, since it is larger than the sum of its proper divisors (10690857664).

10821577456 is a wasteful number, since it uses less digits than its factorization.

10821577456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42593 (or 42587 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 46.

The spelling of 10821577456 in words is "ten billion, eight hundred twenty-one million, five hundred seventy-seven thousand, four hundred fifty-six".