51687025362000 has 480 divisors, whose sum is σ = 206390292675840. Its totient is φ = 11809860940800.

The previous prime is 51687025361989. The next prime is 51687025362001. The reversal of 51687025362000 is 26352078615.

51687025362000 is a `hidden beast` number, since 5 + 16 + 8 + 7 + 0 + 2 + 5 + 3 + 620 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51687025362001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 351340459 + ... + 351487541.

It is an arithmetic number, because the mean of its divisors is an integer number (429979776408).

Almost surely, 2^{51687025362000} is an apocalyptic number.

51687025362000 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 51687025362000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103195146337920).

51687025362000 is an abundant number, since it is smaller than the sum of its proper divisors (154703267313840).

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

51687025362000 is a wasteful number, since it uses less digits than its factorization.

51687025362000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149908 (or 149889 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 51687025362000 in words is "fifty-one trillion, six hundred eighty-seven billion, twenty-five million, three hundred sixty-two thousand".