10210855680 has 288 divisors, whose sum is σ = 37082411520. Its totient is φ = 2659184640.

The previous prime is 10210855679. The next prime is 10210855687. The reversal of 10210855680 is 8655801201.

10210855680 is a `hidden beast` number, since 1 + 0 + 2 + 10 + 85 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (10210855687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1482645 + ... + 1489515.

Almost surely, 2^10210855680 is an apocalyptic number.

10210855680 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 10210855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18541205760).

10210855680 is an abundant number, since it is smaller than the sum of its proper divisors (26871555840).

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

10210855680 is an equidigital number, since it uses as much as digits as its factorization.

10210855680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6944 (or 6924 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 10210855680 in words is "ten billion, two hundred ten million, eight hundred fifty-five thousand, six hundred eighty".