10135047888 has 480 divisors, whose sum is σ = 35887345920. Its totient is φ = 2759049216.

The previous prime is 10135047877. The next prime is 10135047889. The reversal of 10135047888 is 88874053101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10135047889) 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, 39435856 + ... + 39436112.

It is an arithmetic number, because the mean of its divisors is an integer number (74765304).

Almost surely, 2^10135047888 is an apocalyptic number.

10135047888 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 10135047888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17943672960).

10135047888 is an abundant number, since it is smaller than the sum of its proper divisors (25752298032).

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

10135047888 is an equidigital number, since it uses as much as digits as its factorization.

10135047888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 10135047888 in words is "ten billion, one hundred thirty-five million, forty-seven thousand, eight hundred eighty-eight".