10862220960 has 384 divisors, whose sum is σ = 40715136000. Its totient is φ = 2696426496.

The previous prime is 10862220899. The next prime is 10862220961. The reversal of 10862220960 is 6902226801.

It is a happy number.

10862220960 is a `hidden beast` number, since 1 + 0 + 8 + 622 + 20 + 9 + 6 + 0 = 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 (10862220961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4841599 + ... + 4843841.

It is an arithmetic number, because the mean of its divisors is an integer number (106029000).

Almost surely, 2^10862220960 is an apocalyptic number.

10862220960 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 10862220960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20357568000).

10862220960 is an abundant number, since it is smaller than the sum of its proper divisors (29852915040).

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

10862220960 is a wasteful number, since it uses less digits than its factorization.

10862220960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10862220960 in words is "ten billion, eight hundred sixty-two million, two hundred twenty thousand, nine hundred sixty".