1107872904096 has 864 divisors, whose sum is σ = 3881468118528. Its totient is φ = 298478960640.

The previous prime is 1107872904071. The next prime is 1107872904097. The reversal of 1107872904096 is 6904092787011.

1107872904096 is a `hidden beast` number, since 1 + 10 + 78 + 72 + 90 + 409 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (1107872904097) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3608706375 + ... + 3608706681.

It is an arithmetic number, because the mean of its divisors is an integer number (4492439952).

Almost surely, 2^{1107872904096} is an apocalyptic number.

1107872904096 is a gapful number since it is divisible by the number (16) 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 1107872904096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940734059264).

1107872904096 is an abundant number, since it is smaller than the sum of its proper divisors (2773595214432).

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

1107872904096 is a wasteful number, since it uses less digits than its factorization.

1107872904096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 1107872904096 in words is "one trillion, one hundred seven billion, eight hundred seventy-two million, nine hundred four thousand, ninety-six".