2607955136928 has 36 divisors (see below), whose sum is σ = 7416372421458. Its totient is φ = 869318378880.

The previous prime is 2607955136911. The next prime is 2607955136959. The reversal of 2607955136928 is 8296315597062.

2607955136928 is a `hidden beast` number, since 2 + 6 + 0 + 7 + 95 + 513 + 6 + 9 + 28 = 666.

2607955136928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2594122554384 + 13832582544 = 1610628^2 + 117612^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4527699603 + ... + 4527700178.

Almost surely, 2^{2607955136928} is an apocalyptic number.

It is an amenable number.

2607955136928 is an abundant number, since it is smaller than the sum of its proper divisors (4808417284530).

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

2607955136928 is a wasteful number, since it uses less digits than its factorization.

2607955136928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9055399797 (or 9055399786 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 2607955136928 in words is "two trillion, six hundred seven billion, nine hundred fifty-five million, one hundred thirty-six thousand, nine hundred twenty-eight".