1372828082688 has 400 divisors, whose sum is σ = 4142258467776. Its totient is φ = 452645314560.

The previous prime is 1372828082621. The next prime is 1372828082767. The reversal of 1372828082688 is 8862808282731.

1372828082688 is a `hidden beast` number, since 13 + 7 + 282 + 80 + 8 + 268 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2102339770 + ... + 2102340422.

Almost surely, 2^{1372828082688} is an apocalyptic number.

1372828082688 is a gapful number since it is divisible by the number (18) 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 1372828082688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071129233888).

1372828082688 is an abundant number, since it is smaller than the sum of its proper divisors (2769430385088).

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

1372828082688 is an equidigital number, since it uses as much as digits as its factorization.

1372828082688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 1372828082688 in words is "one trillion, three hundred seventy-two billion, eight hundred twenty-eight million, eighty-two thousand, six hundred eighty-eight".