51158332512000 has 1440 divisors, whose sum is σ = 217864822855680. Its totient is φ = 11677635993600.

The previous prime is 51158332511927. The next prime is 51158332512017. The reversal of 51158332512000 is 21523385115.

51158332512000 is a `hidden beast` number, since 5 + 1 + 1 + 583 + 3 + 2 + 51 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18488734617 + ... + 18488737383.

It is an arithmetic number, because the mean of its divisors is an integer number (151295015872).

Almost surely, 2^{51158332512000} is an apocalyptic number.

51158332512000 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 51158332512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108932411427840).

51158332512000 is an abundant number, since it is smaller than the sum of its proper divisors (166706490343680).

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

51158332512000 is a wasteful number, since it uses less digits than its factorization.

51158332512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 51158332512000 its reverse (21523385115), we get a palindrome (51179855897115).

The spelling of 51158332512000 in words is "fifty-one trillion, one hundred fifty-eight billion, three hundred thirty-two million, five hundred twelve thousand".