4252765725960 has 256 divisors, whose sum is σ = 13353431040000. Its totient is φ = 1082288148480.

The previous prime is 4252765725907. The next prime is 4252765725977. The reversal of 4252765725960 is 695275672524.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 4252765725894 and 4252765725903.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83626221 + ... + 83677059.

It is an arithmetic number, because the mean of its divisors is an integer number (52161840000).

Almost surely, 2^{4252765725960} is an apocalyptic number.

4252765725960 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 4252765725960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6676715520000).

4252765725960 is an abundant number, since it is smaller than the sum of its proper divisors (9100665314040).

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

4252765725960 is a wasteful number, since it uses less digits than its factorization.

4252765725960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51196 (or 51192 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 60.

The spelling of 4252765725960 in words is "four trillion, two hundred fifty-two billion, seven hundred sixty-five million, seven hundred twenty-five thousand, nine hundred sixty".