10348599888 has 480 divisors, whose sum is σ = 35097753600. Its totient is φ = 2811110400.

The previous prime is 10348599887. The next prime is 10348599913. The reversal of 10348599888 is 88899584301.

It is a happy number.

10348599888 is a `hidden beast` number, since 1 + 0 + 34 + 8 + 599 + 8 + 8 + 8 = 666.

It is a super-2 number, since 2×10348599888² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10348599881) 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, 61967581 + ... + 61967747.

It is an arithmetic number, because the mean of its divisors is an integer number (73120320).

Almost surely, 2^10348599888 is an apocalyptic number.

10348599888 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 10348599888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17548876800).

10348599888 is an abundant number, since it is smaller than the sum of its proper divisors (24749153712).

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

10348599888 is a wasteful number, since it uses less digits than its factorization.

10348599888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 10348599888 in words is "ten billion, three hundred forty-eight million, five hundred ninety-nine thousand, eight hundred eighty-eight".