1210480882560 has 512 divisors, whose sum is σ = 4334721091200. Its totient is φ = 319229853696.

The previous prime is 1210480882519. The next prime is 1210480882579. The reversal of 1210480882560 is 652880840121.

1210480882560 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 4 + 8 + 0 + 8 + 82 + 560 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 750452314 + ... + 750453926.

Almost surely, 2^{1210480882560} is an apocalyptic number.

1210480882560 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 1210480882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167360545600).

1210480882560 is an abundant number, since it is smaller than the sum of its proper divisors (3124240208640).

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

1210480882560 is a wasteful number, since it uses less digits than its factorization.

1210480882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 1210480882560 in words is "one trillion, two hundred ten billion, four hundred eighty million, eight hundred eighty-two thousand, five hundred sixty".