4705325251200 has 1536 divisors, whose sum is σ = 20095547136000. Its totient is φ = 1066220236800.

The previous prime is 4705325251177. The next prime is 4705325251267. The reversal of 4705325251200 is 21525235074.

4705325251200 is a `hidden beast` number, since 4 + 7 + 0 + 5 + 3 + 2 + 525 + 120 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6809442855 + ... + 6809443545.

It is an arithmetic number, because the mean of its divisors is an integer number (13083038500).

Almost surely, 2^{4705325251200} is an apocalyptic number.

4705325251200 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 4705325251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10047773568000).

4705325251200 is an abundant number, since it is smaller than the sum of its proper divisors (15390221884800).

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

4705325251200 is an equidigital number, since it uses as much as digits as its factorization.

4705325251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 4705325251200 in words is "four trillion, seven hundred five billion, three hundred twenty-five million, two hundred fifty-one thousand, two hundred".