4725725276160 has 1152 divisors, whose sum is σ = 19618703919360. Its totient is φ = 1068647841792.

The previous prime is 4725725276143. The next prime is 4725725276177. The reversal of 4725725276160 is 616725275274.

4725725276160 is a `hidden beast` number, since 4 + 7 + 2 + 57 + 2 + 527 + 6 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (4725725276143) and next prime (4725725276177).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4725725276097 and 4725725276106.

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, 1689567882 + ... + 1689570678.

It is an arithmetic number, because the mean of its divisors is an integer number (17030124930).

Almost surely, 2^{4725725276160} is an apocalyptic number.

4725725276160 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 4725725276160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9809351959680).

4725725276160 is an abundant number, since it is smaller than the sum of its proper divisors (14892978643200).

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

4725725276160 is an equidigital number, since it uses as much as digits as its factorization.

4725725276160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2943 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 4725725276160 in words is "four trillion, seven hundred twenty-five billion, seven hundred twenty-five million, two hundred seventy-six thousand, one hundred sixty".