51420174326190 has 640 divisors, whose sum is σ = 144897984000000. Its totient is φ = 13076316684288.

The previous prime is 51420174326189. The next prime is 51420174326233. The reversal of 51420174326190 is 9162347102415.

51420174326190 is a `hidden beast` number, since 5 + 1 + 4 + 20 + 1 + 7 + 4 + 3 + 2 + 619 + 0 = 666.

51420174326190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51420174326190² (a number of 28 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 66866286126 + ... + 66866286894.

It is an arithmetic number, because the mean of its divisors is an integer number (226403100000).

Almost surely, 2^{51420174326190} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51420174326190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72448992000000).

51420174326190 is an abundant number, since it is smaller than the sum of its proper divisors (93477809673810).

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

51420174326190 is a wasteful number, since it uses less digits than its factorization.

51420174326190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 51420174326190 in words is "fifty-one trillion, four hundred twenty billion, one hundred seventy-four million, three hundred twenty-six thousand, one hundred ninety".