14875505752800 has 1152 divisors, whose sum is σ = 61756495331328. Its totient is φ = 3020120064000.

The previous prime is 14875505752787. The next prime is 14875505752859. The reversal of 14875505752800 is 825750557841.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7148247760 + ... + 7148249840.

It is an arithmetic number, because the mean of its divisors is an integer number (53608068864).

Almost surely, 2^{14875505752800} is an apocalyptic number.

14875505752800 is a gapful number since it is divisible by the number (10) 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 14875505752800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30878247665664).

14875505752800 is an abundant number, since it is smaller than the sum of its proper divisors (46880989578528).

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

14875505752800 is a wasteful number, since it uses less digits than its factorization.

14875505752800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 15680000, while the sum is 57.

The spelling of 14875505752800 in words is "fourteen trillion, eight hundred seventy-five billion, five hundred five million, seven hundred fifty-two thousand, eight hundred".