2687658010128 has 600 divisors, whose sum is σ = 10059396990720. Its totient is φ = 685960773120.

The previous prime is 2687658010091. The next prime is 2687658010157. The reversal of 2687658010128 is 8210108567862.

2687658010128 is a `hidden beast` number, since 26 + 8 + 7 + 6 + 580 + 10 + 1 + 28 = 666.

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 119 ways as a sum of consecutive naturals, for example, 25539603 + ... + 25644621.

Almost surely, 2^{2687658010128} is an apocalyptic number.

2687658010128 is a gapful number since it is divisible by the number (28) 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 2687658010128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029698495360).

2687658010128 is an abundant number, since it is smaller than the sum of its proper divisors (7371738980592).

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

2687658010128 is a wasteful number, since it uses less digits than its factorization.

2687658010128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105097 (or 105075 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 2687658010128 in words is "two trillion, six hundred eighty-seven billion, six hundred fifty-eight million, ten thousand, one hundred twenty-eight".