10011487068 has 288 divisors, whose sum is σ = 31842720000. Its totient is φ = 2610800640.

The previous prime is 10011487063. The next prime is 10011487069. The reversal of 10011487068 is 86078411001.

10011487068 is a `hidden beast` number, since 100 + 11 + 487 + 0 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011487063) 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, 3707983 + ... + 3710681.

It is an arithmetic number, because the mean of its divisors is an integer number (110565000).

Almost surely, 2^10011487068 is an apocalyptic number.

10011487068 is a gapful number since it is divisible by the number (18) 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 10011487068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15921360000).

10011487068 is an abundant number, since it is smaller than the sum of its proper divisors (21831232932).

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

10011487068 is a wasteful number, since it uses less digits than its factorization.

10011487068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

Adding to 10011487068 its reverse (86078411001), we get a palindrome (96089898069).

The spelling of 10011487068 in words is "ten billion, eleven million, four hundred eighty-seven thousand, sixty-eight".