51758932531200 has 288 divisors, whose sum is σ = 172413985423680. Its totient is φ = 13697014988800.

The previous prime is 51758932531181. The next prime is 51758932531219. The reversal of 51758932531200 is 213523985715.

It is an interprime number because it is at equal distance from previous prime (51758932531181) and next prime (51758932531219).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18835447 + ... + 21407753.

It is an arithmetic number, because the mean of its divisors is an integer number (598659671610).

Almost surely, 2^{51758932531200} is an apocalyptic number.

51758932531200 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 51758932531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86206992711840).

51758932531200 is an abundant number, since it is smaller than the sum of its proper divisors (120655052892480).

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

51758932531200 is a wasteful number, since it uses less digits than its factorization.

51758932531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572473 (or 2572448 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 51.

The spelling of 51758932531200 in words is "fifty-one trillion, seven hundred fifty-eight billion, nine hundred thirty-two million, five hundred thirty-one thousand, two hundred".