755984000096 has 48 divisors (see below), whose sum is σ = 1687191030000. Its totient is φ = 330551705088.

The previous prime is 755984000059. The next prime is 755984000143. The reversal of 755984000096 is 690000489557.

It is a super-2 number, since 2×755984000096² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47814971 + ... + 47830778.

It is an arithmetic number, because the mean of its divisors is an integer number (35149813125).

Almost surely, 2^755984000096 is an apocalyptic number.

755984000096 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

755984000096 is an abundant number, since it is smaller than the sum of its proper divisors (931207029904).

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

755984000096 is a wasteful number, since it uses less digits than its factorization.

755984000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95645791 (or 95645783 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 53.

The spelling of 755984000096 in words is "seven hundred fifty-five billion, nine hundred eighty-four million, ninety-six", and thus it is an aban number.