51124824000 has 448 divisors, whose sum is σ = 192670907520. Its totient is φ = 13262745600.

The previous prime is 51124823993. The next prime is 51124824029. The reversal of 51124824000 is 42842115.

51124824000 is a `hidden beast` number, since 5 + 11 + 248 + 2 + 400 + 0 = 666.

It is a super-2 number, since 2×51124824000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7988802 + ... + 7995198.

It is an arithmetic number, because the mean of its divisors is an integer number (430068990).

Almost surely, 2^51124824000 is an apocalyptic number.

51124824000 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 51124824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96335453760).

51124824000 is an abundant number, since it is smaller than the sum of its proper divisors (141546083520).

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

51124824000 is a wasteful number, since it uses less digits than its factorization.

51124824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6470 (or 6444 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 51124824000 in words is "fifty-one billion, one hundred twenty-four million, eight hundred twenty-four thousand".