10450851840 has 864 divisors, whose sum is σ = 43488310320. Its totient is φ = 2300313600.

The previous prime is 10450851833. The next prime is 10450851841. The reversal of 10450851840 is 4815805401.

10450851840 is a `hidden beast` number, since 104 + 508 + 5 + 1 + 8 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10450851795 and 10450851804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10450851841) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 171325410 + ... + 171325470.

Almost surely, 2^10450851840 is an apocalyptic number.

10450851840 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 10450851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21744155160).

10450851840 is an abundant number, since it is smaller than the sum of its proper divisors (33037458480).

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

10450851840 is a wasteful number, since it uses less digits than its factorization.

10450851840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 10450851840 in words is "ten billion, four hundred fifty million, eight hundred fifty-one thousand, eight hundred forty".