10818956615040 has 1152 divisors, whose sum is σ = 44126930221920. Its totient is φ = 2435085434880.

The previous prime is 10818956615029. The next prime is 10818956615053. The reversal of 10818956615040 is 4051665981801.

10818956615040 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 89 + 56 + 6 + 1 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9862311772 + ... + 9862312868.

Almost surely, 2^{10818956615040} is an apocalyptic number.

10818956615040 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 10818956615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22063465110960).

10818956615040 is an abundant number, since it is smaller than the sum of its proper divisors (33307973606880).

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

10818956615040 is a wasteful number, since it uses less digits than its factorization.

10818956615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 10818956615040 in words is "ten trillion, eight hundred eighteen billion, nine hundred fifty-six million, six hundred fifteen thousand, forty".