755097552000 has 640 divisors, whose sum is σ = 3059461342080. Its totient is φ = 183050496000.

The previous prime is 755097551963. The next prime is 755097552007. The reversal of 755097552000 is 255790557.

755097552000 is a `hidden beast` number, since 7 + 5 + 5 + 0 + 97 + 552 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (755097552007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14229517 + ... + 14282483.

It is an arithmetic number, because the mean of its divisors is an integer number (4780408347).

Almost surely, 2^755097552000 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 755097552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529730671040).

755097552000 is an abundant number, since it is smaller than the sum of its proper divisors (2304363790080).

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

755097552000 is a wasteful number, since it uses less digits than its factorization.

755097552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53019 (or 52988 counting only the distinct ones).

The product of its (nonzero) digits is 551250, while the sum is 45.

The spelling of 755097552000 in words is "seven hundred fifty-five billion, ninety-seven million, five hundred fifty-two thousand".