51405775521984 has 1008 divisors, whose sum is σ = 177763435956288. Its totient is φ = 14068141129728.

The previous prime is 51405775521931. The next prime is 51405775522081. The reversal of 51405775521984 is 48912557750415.

51405775521984 is a `hidden beast` number, since 5 + 1 + 4 + 0 + 5 + 77 + 552 + 1 + 9 + 8 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22379526724 + ... + 22379529020.

It is an arithmetic number, because the mean of its divisors is an integer number (176352615036).

Almost surely, 2^{51405775521984} 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 51405775521984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88881717978144).

51405775521984 is an abundant number, since it is smaller than the sum of its proper divisors (126357660434304).

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

51405775521984 is a wasteful number, since it uses less digits than its factorization.

51405775521984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 70560000, while the sum is 63.

The spelling of 51405775521984 in words is "fifty-one trillion, four hundred five billion, seven hundred seventy-five million, five hundred twenty-one thousand, nine hundred eighty-four".