10052111040 has 168 divisors, whose sum is σ = 32718115920. Its totient is φ = 2614763520.

The previous prime is 10052111039. The next prime is 10052111071. The reversal of 10052111040 is 4011125001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1610646 + ... + 1616874.

It is an arithmetic number, because the mean of its divisors is an integer number (194750690).

Almost surely, 2^10052111040 is an apocalyptic number.

10052111040 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 10052111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16359057960).

10052111040 is an abundant number, since it is smaller than the sum of its proper divisors (22666004880).

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

10052111040 is an equidigital number, since it uses as much as digits as its factorization.

10052111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6331 (or 6280 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 10052111040 its reverse (4011125001), we get a palindrome (14063236041).

The spelling of 10052111040 in words is "ten billion, fifty-two million, one hundred eleven thousand, forty".