10211271840 has 1152 divisors, whose sum is σ = 47325358080. Its totient is φ = 1940889600.

The previous prime is 10211271827. The next prime is 10211271899. The reversal of 10211271840 is 4817211201.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77948575 + ... + 77948705.

It is an arithmetic number, because the mean of its divisors is an integer number (41081040).

Almost surely, 2^10211271840 is an apocalyptic number.

10211271840 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 10211271840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23662679040).

10211271840 is an abundant number, since it is smaller than the sum of its proper divisors (37114086240).

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

10211271840 is a wasteful number, since it uses less digits than its factorization.

10211271840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 10211271840 in words is "ten billion, two hundred eleven million, two hundred seventy-one thousand, eight hundred forty".