51930048486400 has 528 divisors, whose sum is σ = 152497588101120. Its totient is φ = 17157714739200.

The previous prime is 51930048486377. The next prime is 51930048486401. The reversal of 51930048486400 is 468484003915.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51930048486401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1327673244 + ... + 1327712356.

Almost surely, 2^{51930048486400} is an apocalyptic number.

51930048486400 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 51930048486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76248794050560).

51930048486400 is an abundant number, since it is smaller than the sum of its proper divisors (100567539614720).

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

51930048486400 is a wasteful number, since it uses less digits than its factorization.

51930048486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39420 (or 39397 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 52.

The spelling of 51930048486400 in words is "fifty-one trillion, nine hundred thirty billion, forty-eight million, four hundred eighty-six thousand, four hundred".