20131008468480 has 3840 divisors, whose sum is σ = 94871567831040. Its totient is φ = 4002460729344.

The previous prime is 20131008468413. The next prime is 20131008468523. The reversal of 20131008468480 is 8486480013102.

20131008468480 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 100 + 8 + 4 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 104305743264 + ... + 104305743456.

It is an arithmetic number, because the mean of its divisors is an integer number (24706137456).

Almost surely, 2^{20131008468480} is an apocalyptic number.

20131008468480 is a gapful number since it is divisible by the number (20) 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 20131008468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47435783915520).

20131008468480 is an abundant number, since it is smaller than the sum of its proper divisors (74740559362560).

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

20131008468480 is a wasteful number, since it uses less digits than its factorization.

20131008468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 20131008468480 in words is "twenty trillion, one hundred thirty-one billion, eight million, four hundred sixty-eight thousand, four hundred eighty".