51398625358080 has 3456 divisors, whose sum is σ = 262408079001600. Its totient is φ = 9338963558400.

The previous prime is 51398625358063. The next prime is 51398625358103. The reversal of 51398625358080 is 8085352689315.

51398625358080 is a `hidden beast` number, since 5 + 1 + 3 + 98 + 6 + 2 + 535 + 8 + 0 + 8 + 0 = 666.

51398625358080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 51398625357999 and 51398625358017.

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 383 ways as a sum of consecutive naturals, for example, 4601070895 + ... + 4601082065.

It is an arithmetic number, because the mean of its divisors is an integer number (75928263600).

Almost surely, 2^{51398625358080} 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 51398625358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131204039500800).

51398625358080 is an abundant number, since it is smaller than the sum of its proper divisors (211009453643520).

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

51398625358080 is a wasteful number, since it uses less digits than its factorization.

51398625358080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11258 (or 11231 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 51398625358080 in words is "fifty-one trillion, three hundred ninety-eight billion, six hundred twenty-five million, three hundred fifty-eight thousand, eighty".