4753477975120 has 320 divisors, whose sum is σ = 13469423616000. Its totient is φ = 1525015185408.

The previous prime is 4753477975111. The next prime is 4753477975139. The reversal of 4753477975120 is 215797743574.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110888251 + ... + 110931109.

It is an arithmetic number, because the mean of its divisors is an integer number (42091948800).

Almost surely, 2^{4753477975120} is an apocalyptic number.

4753477975120 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 4753477975120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6734711808000).

4753477975120 is an abundant number, since it is smaller than the sum of its proper divisors (8715945640880).

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

4753477975120 is a wasteful number, since it uses less digits than its factorization.

4753477975120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43090 (or 43084 counting only the distinct ones).

The product of its (nonzero) digits is 51861600, while the sum is 61.

The spelling of 4753477975120 in words is "four trillion, seven hundred fifty-three billion, four hundred seventy-seven million, nine hundred seventy-five thousand, one hundred twenty".