10816121497776 has 240 divisors, whose sum is σ = 33388767491040. Its totient is φ = 3006190817280.

The previous prime is 10816121497717. The next prime is 10816121497789. The reversal of 10816121497776 is 67779412161801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 590100580 + ... + 590118908.

It is an arithmetic number, because the mean of its divisors is an integer number (139119864546).

Almost surely, 2^{10816121497776} is an apocalyptic number.

10816121497776 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 10816121497776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16694383745520).

10816121497776 is an abundant number, since it is smaller than the sum of its proper divisors (22572645993264).

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

10816121497776 is a wasteful number, since it uses less digits than its factorization.

10816121497776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25172 (or 25159 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 60.

The spelling of 10816121497776 in words is "ten trillion, eight hundred sixteen billion, one hundred twenty-one million, four hundred ninety-seven thousand, seven hundred seventy-six".