51683673888 has 864 divisors, whose sum is σ = 199981716480. Its totient is φ = 12748285440.

The previous prime is 51683673863. The next prime is 51683673929. The reversal of 51683673888 is 88837638615.

51683673888 is a `hidden beast` number, since 5 + 168 + 367 + 38 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×51683673888² (a number of 22 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 371824923 + ... + 371825061.

It is an arithmetic number, because the mean of its divisors is an integer number (231460320).

Almost surely, 2^51683673888 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 51683673888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99990858240).

51683673888 is an abundant number, since it is smaller than the sum of its proper divisors (148298042592).

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

51683673888 is a wasteful number, since it uses less digits than its factorization.

51683673888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 185 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 51683673888 in words is "fifty-one billion, six hundred eighty-three million, six hundred seventy-three thousand, eight hundred eighty-eight".