1008280117776 has 40 divisors (see below), whose sum is σ = 2665298611360. Its totient is φ = 328277246976.

The previous prime is 1008280117753. The next prime is 1008280117781. The reversal of 1008280117776 is 6777110828001.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244251841 + ... + 244255968.

It is an arithmetic number, because the mean of its divisors is an integer number (66632465284).

Almost surely, 2^{1008280117776} is an apocalyptic number.

1008280117776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1008280117776 is an abundant number, since it is smaller than the sum of its proper divisors (1657018493584).

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

1008280117776 is a wasteful number, since it uses less digits than its factorization.

1008280117776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488507863 (or 488507857 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 48.

The spelling of 1008280117776 in words is "one trillion, eight billion, two hundred eighty million, one hundred seventeen thousand, seven hundred seventy-six".