755216479885056 has 1728 divisors, whose sum is σ = 2709577156608000. Its totient is φ = 184836231659520.

The previous prime is 755216479885031. The next prime is 755216479885061. The reversal of 755216479885056 is 650588974612557.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52376473815 + ... + 52376488233.

It is an arithmetic number, because the mean of its divisors is an integer number (1568042336000).

Almost surely, 2^{755216479885056} is an apocalyptic number.

755216479885056 is a gapful number since it is divisible by the number (76) 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 755216479885056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354788578304000).

755216479885056 is an abundant number, since it is smaller than the sum of its proper divisors (1954360676722944).

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

755216479885056 is a wasteful number, since it uses less digits than its factorization.

755216479885056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14658 (or 14637 counting only the distinct ones).

The product of its (nonzero) digits is 5080320000, while the sum is 78.

The spelling of 755216479885056 in words is "seven hundred fifty-five trillion, two hundred sixteen billion, four hundred seventy-nine million, eight hundred eighty-five thousand, fifty-six".