5125173580800 has 2376 divisors, whose sum is σ = 23509313807616. Its totient is φ = 1056923320320.

The previous prime is 5125173580789. The next prime is 5125173580811. The reversal of 5125173580800 is 80853715215.

5125173580800 is a `hidden beast` number, since 5 + 1 + 2 + 517 + 3 + 58 + 0 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5125173580789) and next prime (5125173580811).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6897945229 + ... + 6897945971.

Almost surely, 2^{5125173580800} is an apocalyptic number.

5125173580800 is a gapful number since it is divisible by the number (50) 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 5125173580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11754656903808).

5125173580800 is an abundant number, since it is smaller than the sum of its proper divisors (18384140226816).

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

5125173580800 is a wasteful number, since it uses less digits than its factorization.

5125173580800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 5125173580800 in words is "five trillion, one hundred twenty-five billion, one hundred seventy-three million, five hundred eighty thousand, eight hundred".