465988864106880 has 96 divisors (see below), whose sum is σ = 1609117796388960. Its totient is φ = 124263697093632.

The previous prime is 465988864106813. The next prime is 465988864107083. The reversal of 465988864106880 is 88601468889564.

465988864106880 is a `hidden beast` number, since 4 + 6 + 598 + 8 + 8 + 6 + 4 + 10 + 6 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 465988864106880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40450416472 + ... + 40450427991.

It is an arithmetic number, because the mean of its divisors is an integer number (16761643712385).

Almost surely, 2^{465988864106880} is an apocalyptic number.

465988864106880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465988864106880 is an abundant number, since it is smaller than the sum of its proper divisors (1143128932282080).

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

465988864106880 is a wasteful number, since it uses less digits than its factorization.

465988864106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80900844488 (or 80900844473 counting only the distinct ones).

The product of its (nonzero) digits is 5096079360, while the sum is 81.

The spelling of 465988864106880 in words is "four hundred sixty-five trillion, nine hundred eighty-eight billion, eight hundred sixty-four million, one hundred six thousand, eight hundred eighty".