1688820268072 has 32 divisors (see below), whose sum is σ = 3640570657920. Its totient is φ = 719446098240.

The previous prime is 1688820268049. The next prime is 1688820268103. The reversal of 1688820268072 is 2708620288861.

It is a super-2 number, since 2×1688820268072² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1688820267998 and 1688820268016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90282579 + ... + 90301282.

It is an arithmetic number, because the mean of its divisors is an integer number (113767833060).

Almost surely, 2^{1688820268072} is an apocalyptic number.

It is an amenable number.

1688820268072 is an abundant number, since it is smaller than the sum of its proper divisors (1951750389848).

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

1688820268072 is a wasteful number, since it uses less digits than its factorization.

1688820268072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180584041 (or 180584037 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 58.

The spelling of 1688820268072 in words is "one trillion, six hundred eighty-eight billion, eight hundred twenty million, two hundred sixty-eight thousand, seventy-two".