10464481198080 has 1440 divisors, whose sum is σ = 47002662470400. Its totient is φ = 2091430969344.

The previous prime is 10464481198057. The next prime is 10464481198081. The reversal of 10464481198080 is 8089118446401.

10464481198080 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 4 + 481 + 1 + 9 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10464481198081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1274753016 + ... + 1274761224.

Almost surely, 2^{10464481198080} is an apocalyptic number.

10464481198080 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 10464481198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23501331235200).

10464481198080 is an abundant number, since it is smaller than the sum of its proper divisors (36538181272320).

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

10464481198080 is a wasteful number, since it uses less digits than its factorization.

10464481198080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8287 (or 8258 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 10464481198080 in words is "ten trillion, four hundred sixty-four billion, four hundred eighty-one million, one hundred ninety-eight thousand, eighty".