51892420608 has 768 divisors, whose sum is σ = 190837920000. Its totient is φ = 14046068736.

The previous prime is 51892420607. The next prime is 51892420609. The reversal of 51892420608 is 80602429815.

51892420608 is a `hidden beast` number, since 5 + 18 + 9 + 2 + 4 + 20 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (51892420607) and next prime (51892420609).

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51892420603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2731180023 + ... + 2731180041.

It is an arithmetic number, because the mean of its divisors is an integer number (248486875).

Almost surely, 2^51892420608 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 51892420608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95418960000).

51892420608 is an abundant number, since it is smaller than the sum of its proper divisors (138945499392).

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

51892420608 is an frugal number, since it uses more digits than its factorization.

51892420608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 51892420608 in words is "fifty-one billion, eight hundred ninety-two million, four hundred twenty thousand, six hundred eight".