10821315456 has 384 divisors, whose sum is σ = 37969214400. Its totient is φ = 2887778304.

The previous prime is 10821315451. The next prime is 10821315469. The reversal of 10821315456 is 65451312801.

10821315456 is a `hidden beast` number, since 1 + 0 + 82 + 1 + 31 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10821315456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10821315451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26457780 + ... + 26458188.

Almost surely, 2^10821315456 is an apocalyptic number.

10821315456 is a gapful number since it is divisible by the number (16) 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 10821315456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18984607200).

10821315456 is an abundant number, since it is smaller than the sum of its proper divisors (27147898944).

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

10821315456 is a wasteful number, since it uses less digits than its factorization.

10821315456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 10821315456 in words is "ten billion, eight hundred twenty-one million, three hundred fifteen thousand, four hundred fifty-six".