51158402064000 has 2048 divisors, whose sum is σ = 240666428620800. Its totient is φ = 10370764800000.

The previous prime is 51158402063983. The next prime is 51158402064019. The reversal of 51158402064000 is 46020485115.

It is a happy number.

51158402064000 is a `hidden beast` number, since 5 + 1 + 1 + 5 + 8 + 4 + 0 + 2 + 0 + 640 + 0 + 0 = 666.

51158402064000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1363805245 + ... + 1363842755.

It is an arithmetic number, because the mean of its divisors is an integer number (117512904600).

Almost surely, 2^{51158402064000} is an apocalyptic number.

51158402064000 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 51158402064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120333214310400).

51158402064000 is an abundant number, since it is smaller than the sum of its proper divisors (189508026556800).

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

51158402064000 is a wasteful number, since it uses less digits than its factorization.

51158402064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37608 (or 37580 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 51158402064000 in words is "fifty-one trillion, one hundred fifty-eight billion, four hundred two million, sixty-four thousand".