1471585812480 has 1920 divisors, whose sum is σ = 6421943468160. Its totient is φ = 321052999680.

The previous prime is 1471585812479. The next prime is 1471585812533. The reversal of 1471585812480 is 842185851741.

1471585812480 is a `hidden beast` number, since 1 + 4 + 7 + 1 + 5 + 85 + 81 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20158709724 + ... + 20158709796.

It is an arithmetic number, because the mean of its divisors is an integer number (3344762223).

Almost surely, 2^{1471585812480} is an apocalyptic number.

1471585812480 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 1471585812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210971734080).

1471585812480 is an abundant number, since it is smaller than the sum of its proper divisors (4950357655680).

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

1471585812480 is an frugal number, since it uses more digits than its factorization.

1471585812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2867200, while the sum is 54.

The spelling of 1471585812480 in words is "one trillion, four hundred seventy-one billion, five hundred eighty-five million, eight hundred twelve thousand, four hundred eighty".