10290379320 has 768 divisors, whose sum is σ = 40154849280. Its totient is φ = 2351462400.

The previous prime is 10290379199. The next prime is 10290379349. The reversal of 10290379320 is 2397309201.

10290379320 is a `hidden beast` number, since 10 + 290 + 37 + 9 + 320 = 666.

10290379320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 144934885 + ... + 144934955.

It is an arithmetic number, because the mean of its divisors is an integer number (52284960).

Almost surely, 2^10290379320 is an apocalyptic number.

10290379320 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 10290379320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20077424640).

10290379320 is an abundant number, since it is smaller than the sum of its proper divisors (29864469960).

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

10290379320 is a wasteful number, since it uses less digits than its factorization.

10290379320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 10290379320 in words is "ten billion, two hundred ninety million, three hundred seventy-nine thousand, three hundred twenty".