51084873733824 has 840 divisors, whose sum is σ = 186605506416384. Its totient is φ = 13510513843200.

The previous prime is 51084873733787. The next prime is 51084873733837. The reversal of 51084873733824 is 42833737848015.

It is a happy number.

51084873733824 is a `hidden beast` number, since 5 + 1 + 0 + 8 + 487 + 3 + 73 + 3 + 82 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 802041819 + ... + 802105509.

Almost surely, 2^{51084873733824} is an apocalyptic number.

51084873733824 is a gapful number since it is divisible by the number (54) 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 51084873733824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93302753208192).

51084873733824 is an abundant number, since it is smaller than the sum of its proper divisors (135520632682560).

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

51084873733824 is a wasteful number, since it uses less digits than its factorization.

51084873733824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63807 (or 63757 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 51084873733824 in words is "fifty-one trillion, eighty-four billion, eight hundred seventy-three million, seven hundred thirty-three thousand, eight hundred twenty-four".