10788780191904 has 1920 divisors, whose sum is σ = 41923816704000. Its totient is φ = 2669380116480.

The previous prime is 10788780191863. The next prime is 10788780191933. The reversal of 10788780191904 is 40919108788701.

10788780191904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10788780191904² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6964996122 + ... + 6964997670.

It is an arithmetic number, because the mean of its divisors is an integer number (21835321200).

Almost surely, 2^{10788780191904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10788780191904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20961908352000).

10788780191904 is an abundant number, since it is smaller than the sum of its proper divisors (31135036512096).

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

10788780191904 is a wasteful number, since it uses less digits than its factorization.

10788780191904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 63.

The spelling of 10788780191904 in words is "ten trillion, seven hundred eighty-eight billion, seven hundred eighty million, one hundred ninety-one thousand, nine hundred four".