10735857090 has 96 divisors (see below), whose sum is σ = 33579861120. Its totient is φ = 2324754432.

The previous prime is 10735857079. The next prime is 10735857103. The reversal of 10735857090 is 9075853701.

10735857090 is a `hidden beast` number, since 1 + 0 + 73 + 5 + 8 + 570 + 9 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436479 + ... + 460418.

It is an arithmetic number, because the mean of its divisors is an integer number (349790220).

Almost surely, 2^10735857090 is an apocalyptic number.

10735857090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10735857090 is an abundant number, since it is smaller than the sum of its proper divisors (22844004030).

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

10735857090 is a wasteful number, since it uses less digits than its factorization.

10735857090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896936 (or 896933 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 10735857090 in words is "ten billion, seven hundred thirty-five million, eight hundred fifty-seven thousand, ninety".