8125128748800 has 1728 divisors, whose sum is σ = 35980613760000. Its totient is φ = 1752653168640.

The previous prime is 8125128748769. The next prime is 8125128748801. The reversal of 8125128748800 is 88478215218.

It is a happy number.

8125128748800 is a `hidden beast` number, since 8 + 1 + 2 + 512 + 8 + 7 + 48 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8125128748801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8020857094 + ... + 8020858106.

Almost surely, 2^{8125128748800} is an apocalyptic number.

8125128748800 is a gapful number since it is divisible by the number (80) 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 8125128748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17990306880000).

8125128748800 is an abundant number, since it is smaller than the sum of its proper divisors (27855485011200).

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

8125128748800 is a wasteful number, since it uses less digits than its factorization.

8125128748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 54.

The spelling of 8125128748800 in words is "eight trillion, one hundred twenty-five billion, one hundred twenty-eight million, seven hundred forty-eight thousand, eight hundred".