10821618720 has 576 divisors, whose sum is σ = 43490079360. Its totient is φ = 2421964800.

The previous prime is 10821618671. The next prime is 10821618727. The reversal of 10821618720 is 2781612801.

10821618720 is a `hidden beast` number, since 10 + 8 + 2 + 1 + 618 + 7 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10821618727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12338922 + ... + 12339798.

It is an arithmetic number, because the mean of its divisors is an integer number (75503610).

Almost surely, 2^10821618720 is an apocalyptic number.

10821618720 is a gapful number since it is divisible by the number (10) 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 10821618720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21745039680).

10821618720 is an abundant number, since it is smaller than the sum of its proper divisors (32668460640).

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

10821618720 is a wasteful number, since it uses less digits than its factorization.

10821618720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 10821618720 in words is "ten billion, eight hundred twenty-one million, six hundred eighteen thousand, seven hundred twenty".