10211399520 has 576 divisors, whose sum is σ = 41398801920. Its totient is φ = 2059665408.

The previous prime is 10211399509. The next prime is 10211399521. The reversal of 10211399520 is 2599311201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211399521) 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, 105272112 + ... + 105272208.

It is an arithmetic number, because the mean of its divisors is an integer number (71872920).

Almost surely, 2^10211399520 is an apocalyptic number.

10211399520 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 10211399520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20699400960).

10211399520 is an abundant number, since it is smaller than the sum of its proper divisors (31187402400).

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

10211399520 is a wasteful number, since it uses less digits than its factorization.

10211399520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The spelling of 10211399520 in words is "ten billion, two hundred eleven million, three hundred ninety-nine thousand, five hundred twenty".