51669505440 has 1152 divisors, whose sum is σ = 220851671040. Its totient is φ = 10749542400.

The previous prime is 51669505439. The next prime is 51669505457. The reversal of 51669505440 is 4450596615.

51669505440 is a `hidden beast` number, since 5 + 16 + 6 + 95 + 0 + 544 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 474032106 + ... + 474032214.

It is an arithmetic number, because the mean of its divisors is an integer number (191711520).

Almost surely, 2^51669505440 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 51669505440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110425835520).

51669505440 is an abundant number, since it is smaller than the sum of its proper divisors (169182165600).

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

51669505440 is a wasteful number, since it uses less digits than its factorization.

51669505440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 51669505440 in words is "fifty-one billion, six hundred sixty-nine million, five hundred five thousand, four hundred forty".