755314485120000 has 2640 divisors, whose sum is σ = 3091716190126080. Its totient is φ = 181934678016000.

The previous prime is 755314485119983. The next prime is 755314485120029. The reversal of 755314485120000 is 21584413557.

755314485120000 is a `hidden beast` number, since 7 + 5 + 531 + 4 + 48 + 51 + 20 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 137255037249 + ... + 137255042751.

It is an arithmetic number, because the mean of its divisors is an integer number (1171104617472).

Almost surely, 2^{755314485120000} 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 755314485120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545858095063040).

755314485120000 is an abundant number, since it is smaller than the sum of its proper divisors (2336401705006080).

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

755314485120000 is a wasteful number, since it uses less digits than its factorization.

755314485120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5625 (or 5573 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 755314485120000 in words is "seven hundred fifty-five trillion, three hundred fourteen billion, four hundred eighty-five million, one hundred twenty thousand".