10260872220 has 192 divisors, whose sum is σ = 30404304000. Its totient is φ = 2581770240.

The previous prime is 10260872203. The next prime is 10260872221. The reversal of 10260872220 is 2227806201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10260872221) 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, 29400606 + ... + 29400954.

It is an arithmetic number, because the mean of its divisors is an integer number (158355750).

Almost surely, 2^10260872220 is an apocalyptic number.

10260872220 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 10260872220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15202152000).

10260872220 is an abundant number, since it is smaller than the sum of its proper divisors (20143431780).

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

10260872220 is a wasteful number, since it uses less digits than its factorization.

10260872220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 10260872220 in words is "ten billion, two hundred sixty million, eight hundred seventy-two thousand, two hundred twenty".