4580252925696 has 2304 divisors, whose sum is σ = 17956850688000. Its totient is φ = 1158800670720.

The previous prime is 4580252925649. The next prime is 4580252925707. The reversal of 4580252925696 is 6965292520854.

4580252925696 is a `hidden beast` number, since 4 + 5 + 80 + 2 + 529 + 25 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 75086113506 + ... + 75086113566.

It is an arithmetic number, because the mean of its divisors is an integer number (7793772000).

Almost surely, 2^{4580252925696} is an apocalyptic number.

4580252925696 is a gapful number since it is divisible by the number (46) 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 4580252925696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8978425344000).

4580252925696 is an abundant number, since it is smaller than the sum of its proper divisors (13376597762304).

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

4580252925696 is an frugal number, since it uses more digits than its factorization.

4580252925696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 4580252925696 in words is "four trillion, five hundred eighty billion, two hundred fifty-two million, nine hundred twenty-five thousand, six hundred ninety-six".