4755452613120 has 960 divisors, whose sum is σ = 18683470181376. Its totient is φ = 1149663559680.

The previous prime is 4755452613089. The next prime is 4755452613161. The reversal of 4755452613120 is 213162545574.

4755452613120 is a `hidden beast` number, since 4 + 7 + 5 + 5 + 4 + 5 + 2 + 613 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×4755452613120² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 3332481847 + ... + 3332483273.

Almost surely, 2^{4755452613120} is an apocalyptic number.

4755452613120 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 4755452613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9341735090688).

4755452613120 is an abundant number, since it is smaller than the sum of its proper divisors (13928017568256).

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

4755452613120 is a wasteful number, since it uses less digits than its factorization.

4755452613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 4755452613120 in words is "four trillion, seven hundred fifty-five billion, four hundred fifty-two million, six hundred thirteen thousand, one hundred twenty".