3125503180800 has 3240 divisors, whose sum is σ = 15427149755472. Its totient is φ = 599497113600.

The previous prime is 3125503180799. The next prime is 3125503180801. The reversal of 3125503180800 is 80813055213.

3125503180800 is a `hidden beast` number, since 3 + 12 + 550 + 3 + 18 + 0 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3125503180799) and next prime (3125503180801).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3125503180801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 240423321594 + ... + 240423321606.

Almost surely, 2^{3125503180800} is an apocalyptic number.

3125503180800 is a gapful number since it is divisible by the number (30) 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 3125503180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7713574877736).

3125503180800 is an abundant number, since it is smaller than the sum of its proper divisors (12301646574672).

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

3125503180800 is a wasteful number, since it uses less digits than its factorization.

3125503180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 3125503180800 in words is "three trillion, one hundred twenty-five billion, five hundred three million, one hundred eighty thousand, eight hundred".