51824551680 has 1080 divisors, whose sum is σ = 216706278096. Its totient is φ = 11824496640.

The previous prime is 51824551643. The next prime is 51824551721. The reversal of 51824551680 is 8615542815.

51824551680 is a `hidden beast` number, since 5 + 18 + 2 + 4 + 551 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3048503032 + ... + 3048503048.

Almost surely, 2^51824551680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51824551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108353139048).

51824551680 is an abundant number, since it is smaller than the sum of its proper divisors (164881726416).

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

51824551680 is an frugal number, since it uses more digits than its factorization.

51824551680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 51824551680 in words is "fifty-one billion, eight hundred twenty-four million, five hundred fifty-one thousand, six hundred eighty".