4589256268800 has 2970 divisors, whose sum is σ = 20860765847856. Its totient is φ = 993536409600.

The previous prime is 4589256268787. The next prime is 4589256268801. The reversal of 4589256268800 is 88626529854.

4589256268800 is a `hidden beast` number, since 4 + 5 + 8 + 9 + 2 + 562 + 68 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×4589256268800² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4589256268801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 97643750377 + ... + 97643750423.

Almost surely, 2^{4589256268800} is an apocalyptic number.

4589256268800 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 4589256268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10430382923928).

4589256268800 is an abundant number, since it is smaller than the sum of its proper divisors (16271509579056).

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

4589256268800 is a wasteful number, since it uses less digits than its factorization.

4589256268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 4589256268800 in words is "four trillion, five hundred eighty-nine billion, two hundred fifty-six million, two hundred sixty-eight thousand, eight hundred".