10548841616040 has 576 divisors, whose sum is σ = 39980437488000. Its totient is φ = 2225617744896.

The previous prime is 10548841616029. The next prime is 10548841616083. The reversal of 10548841616040 is 4061614884501.

It is a super-2 number, since 2×10548841616040² (a number of 27 digits) contains 22 as substring.

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, 340830486 + ... + 340861434.

It is an arithmetic number, because the mean of its divisors is an integer number (69410481750).

Almost surely, 2^{10548841616040} is an apocalyptic number.

10548841616040 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 10548841616040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19990218744000).

10548841616040 is an abundant number, since it is smaller than the sum of its proper divisors (29431595871960).

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

10548841616040 is an equidigital number, since it uses as much as digits as its factorization.

10548841616040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31024 (or 30979 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 10548841616040 in words is "ten trillion, five hundred forty-eight billion, eight hundred forty-one million, six hundred sixteen thousand, forty".