10518963840 has 768 divisors, whose sum is σ = 46582698240. Its totient is φ = 2123366400.

The previous prime is 10518963823. The next prime is 10518963853. The reversal of 10518963840 is 4836981501.

10518963840 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 8 + 9 + 638 + 4 + 0 = 666.

It is a super-2 number, since 2×10518963840² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16409920 + ... + 16410560.

It is an arithmetic number, because the mean of its divisors is an integer number (60654555).

Almost surely, 2^10518963840 is an apocalyptic number.

10518963840 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 10518963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23291349120).

10518963840 is an abundant number, since it is smaller than the sum of its proper divisors (36063734400).

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

10518963840 is a wasteful number, since it uses less digits than its factorization.

10518963840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 10518963840 in words is "ten billion, five hundred eighteen million, nine hundred sixty-three thousand, eight hundred forty".