10509459840 has 576 divisors, whose sum is σ = 42283594080. Its totient is φ = 2395176960.

The previous prime is 10509459809. The next prime is 10509459881. The reversal of 10509459840 is 4895490501.

10509459840 is a `hidden beast` number, since 1 + 0 + 50 + 9 + 4 + 598 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×10509459840² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11847877 + ... + 11848763.

Almost surely, 2^10509459840 is an apocalyptic number.

10509459840 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 10509459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21141797040).

10509459840 is an abundant number, since it is smaller than the sum of its proper divisors (31774134240).

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

10509459840 is a wasteful number, since it uses less digits than its factorization.

10509459840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 10509459840 in words is "ten billion, five hundred nine million, four hundred fifty-nine thousand, eight hundred forty".