30757092128 has 96 divisors (see below), whose sum is σ = 70541259264. Its totient is φ = 12929236992.

The previous prime is 30757092127. The next prime is 30757092131. The reversal of 30757092128 is 82129075703.

It is a Cunningham number, because it is equal to 175377²-1.

It is not an unprimeable number, because it can be changed into a prime (30757092127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2449001 + ... + 2461527.

It is an arithmetic number, because the mean of its divisors is an integer number (734804784).

Almost surely, 2^30757092128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30757092128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35270629632).

30757092128 is an abundant number, since it is smaller than the sum of its proper divisors (39784167136).

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

30757092128 is a wasteful number, since it uses less digits than its factorization.

30757092128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12754 (or 12746 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The spelling of 30757092128 in words is "thirty billion, seven hundred fifty-seven million, ninety-two thousand, one hundred twenty-eight".