10995063148080 has 640 divisors, whose sum is σ = 41699632481280. Its totient is φ = 2662693862400.

The previous prime is 10995063148061. The next prime is 10995063148081. The reversal of 10995063148080 is 8084136059901.

10995063148080 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 50 + 6 + 31 + 480 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10995063148081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4637309295 + ... + 4637311665.

It is an arithmetic number, because the mean of its divisors is an integer number (65155675752).

Almost surely, 2^{10995063148080} is an apocalyptic number.

10995063148080 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 10995063148080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20849816240640).

10995063148080 is an abundant number, since it is smaller than the sum of its proper divisors (30704569333200).

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

10995063148080 is a wasteful number, since it uses less digits than its factorization.

10995063148080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4039 (or 4005 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 10995063148080 in words is "ten trillion, nine hundred ninety-five billion, sixty-three million, one hundred forty-eight thousand, eighty".