4755012888960 has 512 divisors, whose sum is σ = 17223097392000. Its totient is φ = 1239389798400.

The previous prime is 4755012888869. The next prime is 4755012888973. The reversal of 4755012888960 is 698882105574.

4755012888960 is a `hidden beast` number, since 4 + 7 + 550 + 12 + 8 + 8 + 8 + 9 + 60 = 666.

It is a super-2 number, since 2×4755012888960² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 246351310 + ... + 246370610.

Almost surely, 2^{4755012888960} is an apocalyptic number.

4755012888960 is a gapful number since it is divisible by the number (40) 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 4755012888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8611548696000).

4755012888960 is an abundant number, since it is smaller than the sum of its proper divisors (12468084503040).

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

4755012888960 is a wasteful number, since it uses less digits than its factorization.

4755012888960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19651 (or 19633 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 4755012888960 in words is "four trillion, seven hundred fifty-five billion, twelve million, eight hundred eighty-eight thousand, nine hundred sixty".