1076008048480 has 96 divisors (see below), whose sum is σ = 2553933110400. Its totient is φ = 428397545472.

The previous prime is 1076008048471. The next prime is 1076008048501. The reversal of 1076008048480 is 848408006701.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1076008048480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47720089 + ... + 47742631.

It is an arithmetic number, because the mean of its divisors is an integer number (26603469900).

Almost surely, 2^{1076008048480} is an apocalyptic number.

1076008048480 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 1076008048480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276966555200).

1076008048480 is an abundant number, since it is smaller than the sum of its proper divisors (1477925061920).

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

1076008048480 is a wasteful number, since it uses less digits than its factorization.

1076008048480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23936 (or 23928 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 46.

The spelling of 1076008048480 in words is "one trillion, seventy-six billion, eight million, forty-eight thousand, four hundred eighty".