10354890320 has 90 divisors (see below), whose sum is σ = 24944757786. Its totient is φ = 3997422720.

The previous prime is 10354890311. The next prime is 10354890353. The reversal of 10354890320 is 2309845301.

It can be written as a sum of positive squares in only one way, i.e., 8283912256 + 2070978064 = 91016^2 + 45508^2 .

It is a super-3 number, since 3×10354890320³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28214777 + ... + 28215143.

Almost surely, 2^10354890320 is an apocalyptic number.

10354890320 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 10354890320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12472378893).

10354890320 is an abundant number, since it is smaller than the sum of its proper divisors (14589867466).

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

10354890320 is an frugal number, since it uses more digits than its factorization.

10354890320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

Multiplying 10354890320 by its product of nonzero digits (25920), we get a square (268398757094400 = 16382880²).

The spelling of 10354890320 in words is "ten billion, three hundred fifty-four million, eight hundred ninety thousand, three hundred twenty".