4752162586080 has 2592 divisors, whose sum is σ = 21801071545344. Its totient is φ = 934063570944.

The previous prime is 4752162586027. The next prime is 4752162586133. The reversal of 4752162586080 is 806852612574.

4752162586080 is a `hidden beast` number, since 4 + 7 + 5 + 2 + 1 + 6 + 25 + 8 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4752162586027) and next prime (4752162586133).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 37418602977 + ... + 37418603103.

It is an arithmetic number, because the mean of its divisors is an integer number (8410907232).

Almost surely, 2^{4752162586080} is an apocalyptic number.

4752162586080 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 4752162586080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10900535772672).

4752162586080 is an abundant number, since it is smaller than the sum of its proper divisors (17048908959264).

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

4752162586080 is a wasteful number, since it uses less digits than its factorization.

4752162586080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 4752162586080 in words is "four trillion, seven hundred fifty-two billion, one hundred sixty-two million, five hundred eighty-six thousand, eighty".