1116877903680 has 896 divisors, whose sum is σ = 4545161994240. Its totient is φ = 225607680000.

The previous prime is 1116877903667. The next prime is 1116877903717. The reversal of 1116877903680 is 863097786111.

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 1116877903680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1215318261 + ... + 1215319179.

It is an arithmetic number, because the mean of its divisors is an integer number (5072725440).

Almost surely, 2^{1116877903680} is an apocalyptic number.

1116877903680 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 1116877903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272580997120).

1116877903680 is an abundant number, since it is smaller than the sum of its proper divisors (3428284090560).

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

1116877903680 is a wasteful number, since it uses less digits than its factorization.

1116877903680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 57.

The spelling of 1116877903680 in words is "one trillion, one hundred sixteen billion, eight hundred seventy-seven million, nine hundred three thousand, six hundred eighty".