2128126816816 has 160 divisors (see below), whose sum is σ = 5542966227456. Its totient is φ = 764411904000.

The previous prime is 2128126816801. The next prime is 2128126816903. The reversal of 2128126816816 is 6186186218212.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12907056 + ... + 13070896.

Almost surely, 2^{2128126816816} is an apocalyptic number.

2128126816816 is a gapful number since it is divisible by the number (26) 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 2128126816816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771483113728).

2128126816816 is an abundant number, since it is smaller than the sum of its proper divisors (3414839410640).

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

2128126816816 is a wasteful number, since it uses less digits than its factorization.

2128126816816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164691 (or 164685 counting only the distinct ones).

The product of its digits is 884736, while the sum is 52.

The spelling of 2128126816816 in words is "two trillion, one hundred twenty-eight billion, one hundred twenty-six million, eight hundred sixteen thousand, eight hundred sixteen".