51362420928 has 1008 divisors, whose sum is σ = 193222229760. Its totient is φ = 11879239680.

The previous prime is 51362420881. The next prime is 51362420929. The reversal of 51362420928 is 82902426315.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 51362420928.

It is not an unprimeable number, because it can be changed into a prime (51362420929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1656852273 + ... + 1656852303.

It is an arithmetic number, because the mean of its divisors is an integer number (191688720).

Almost surely, 2^51362420928 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 51362420928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96611114880).

51362420928 is an abundant number, since it is smaller than the sum of its proper divisors (141859808832).

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

51362420928 is a wasteful number, since it uses less digits than its factorization.

51362420928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 51362420928 in words is "fifty-one billion, three hundred sixty-two million, four hundred twenty thousand, nine hundred twenty-eight".