51824976000 has 1024 divisors, whose sum is σ = 213735075840. Its totient is φ = 10838016000.

The previous prime is 51824975977. The next prime is 51824976011. The reversal of 51824976000 is 67942815.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 245615895 + ... + 245616105.

It is an arithmetic number, because the mean of its divisors is an integer number (208725660).

Almost surely, 2^51824976000 is an apocalyptic number.

51824976000 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 51824976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106867537920).

51824976000 is an abundant number, since it is smaller than the sum of its proper divisors (161910099840).

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

51824976000 is a wasteful number, since it uses less digits than its factorization.

51824976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 51824976000 in words is "fifty-one billion, eight hundred twenty-four million, nine hundred seventy-six thousand".