10835398080 has 224 divisors, whose sum is σ = 41165678400. Its totient is φ = 2667147264.

The previous prime is 10835398073. The next prime is 10835398193. The reversal of 10835398080 is 8089353801.

10835398080 is a `hidden beast` number, since 108 + 3 + 539 + 8 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64086 + ... + 160554.

It is an arithmetic number, because the mean of its divisors is an integer number (183775350).

Almost surely, 2^10835398080 is an apocalyptic number.

10835398080 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 10835398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20582839200).

10835398080 is an abundant number, since it is smaller than the sum of its proper divisors (30330280320).

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

10835398080 is a wasteful number, since it uses less digits than its factorization.

10835398080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96508 (or 96492 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 10835398080 in words is "ten billion, eight hundred thirty-five million, three hundred ninety-eight thousand, eighty".