10880215871616 has 896 divisors, whose sum is σ = 41289134423040. Its totient is φ = 2776875540480.

The previous prime is 10880215871587. The next prime is 10880215871633. The reversal of 10880215871616 is 61617851208801.

10880215871616 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 0 + 2 + 15 + 8 + 7 + 1 + 616 = 666.

10880215871616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 263212486 + ... + 263253818.

It is an arithmetic number, because the mean of its divisors is an integer number (46081623240).

Almost surely, 2^{10880215871616} is an apocalyptic number.

10880215871616 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 10880215871616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20644567211520).

10880215871616 is an abundant number, since it is smaller than the sum of its proper divisors (30408918551424).

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

10880215871616 is an equidigital number, since it uses as much as digits as its factorization.

10880215871616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41416 (or 41389 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 54.

The spelling of 10880215871616 in words is "ten trillion, eight hundred eighty billion, two hundred fifteen million, eight hundred seventy-one thousand, six hundred sixteen".