51687072000 has 1296 divisors, whose sum is σ = 213794485632. Its totient is φ = 12408422400.

The previous prime is 51687071987. The next prime is 51687072001. The reversal of 51687072000 is 27078615.

51687072000 is a `hidden beast` number, since 516 + 8 + 70 + 72 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51687072001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2247263989 + ... + 2247264011.

Almost surely, 2^51687072000 is an apocalyptic number.

51687072000 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 51687072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106897242816).

51687072000 is an abundant number, since it is smaller than the sum of its proper divisors (162107413632).

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

51687072000 is an equidigital number, since it uses as much as digits as its factorization.

51687072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 51687072000 in words is "fifty-one billion, six hundred eighty-seven million, seventy-two thousand".