51771664401408 has 1408 divisors, whose sum is σ = 191971786752000. Its totient is φ = 13458174935040.

The previous prime is 51771664401371. The next prime is 51771664401539. The reversal of 51771664401408 is 80410446617715.

It is a happy number.

51771664401408 is a `hidden beast` number, since 5 + 1 + 77 + 166 + 4 + 4 + 0 + 1 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8141475733 + ... + 8141482091.

Almost surely, 2^{51771664401408} 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 51771664401408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95985893376000).

51771664401408 is an abundant number, since it is smaller than the sum of its proper divisors (140200122350592).

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

51771664401408 is a wasteful number, since it uses less digits than its factorization.

51771664401408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6508 (or 6484 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 51771664401408 in words is "fifty-one trillion, seven hundred seventy-one billion, six hundred sixty-four million, four hundred one thousand, four hundred eight".