51677818560000 has 2800 divisors, whose sum is σ = 208619887878864. Its totient is φ = 12732235776000.

The previous prime is 51677818559999. The next prime is 51677818560041. The reversal of 51677818560000 is 6581877615.

51677818560000 is a `hidden beast` number, since 5 + 1 + 6 + 7 + 78 + 1 + 8 + 560 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×51677818560000² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 329158079922 + ... + 329158080078.

Almost surely, 2^{51677818560000} is an apocalyptic number.

51677818560000 is a gapful number since it is divisible by the number (50) 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 51677818560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104309943939432).

51677818560000 is an abundant number, since it is smaller than the sum of its proper divisors (156942069318864).

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

51677818560000 is an frugal number, since it uses more digits than its factorization.

51677818560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 51677818560000 in words is "fifty-one trillion, six hundred seventy-seven billion, eight hundred eighteen million, five hundred sixty thousand".