10322151840 has 1728 divisors, whose sum is σ = 51351874560. Its totient is φ = 1916006400.

The previous prime is 10322151821. The next prime is 10322151857. The reversal of 10322151840 is 4815122301.

10322151840 is a `hidden beast` number, since 103 + 2 + 2 + 1 + 518 + 40 = 666.

10322151840 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 (27) 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 (27).

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 287 ways as a sum of consecutive naturals, for example, 332972625 + ... + 332972655.

It is an arithmetic number, because the mean of its divisors is an integer number (29717520).

Almost surely, 2^10322151840 is an apocalyptic number.

10322151840 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 10322151840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25675937280).

10322151840 is an abundant number, since it is smaller than the sum of its proper divisors (41029722720).

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

10322151840 is a wasteful number, since it uses less digits than its factorization.

10322151840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10322151840 in words is "ten billion, three hundred twenty-two million, one hundred fifty-one thousand, eight hundred forty".