51750954393600 has 3024 divisors, whose sum is σ = 227351063029248. Its totient is φ = 10259988480000.

The previous prime is 51750954393521. The next prime is 51750954393623. The reversal of 51750954393600 is 639345905715.

It is a super-2 number, since 2×51750954393600² (a number of 28 digits) contains 22 as substring.

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, 728886681565 + ... + 728886681635.

Almost surely, 2^{51750954393600} is an apocalyptic number.

51750954393600 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 51750954393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113675531514624).

51750954393600 is an abundant number, since it is smaller than the sum of its proper divisors (175600108635648).

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

51750954393600 is a wasteful number, since it uses less digits than its factorization.

51750954393600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 15309000, while the sum is 57.

The spelling of 51750954393600 in words is "fifty-one trillion, seven hundred fifty billion, nine hundred fifty-four million, three hundred ninety-three thousand, six hundred".