51346891008 has 288 divisors, whose sum is σ = 175989381120. Its totient is φ = 14462945280.

The previous prime is 51346890943. The next prime is 51346891009. The reversal of 51346891008 is 80019864315.

51346891008 is a `hidden beast` number, since 513 + 46 + 8 + 91 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (51346891009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3427791 + ... + 3442737.

It is an arithmetic number, because the mean of its divisors is an integer number (611074240).

Almost surely, 2^51346891008 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 51346891008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87994690560).

51346891008 is an abundant number, since it is smaller than the sum of its proper divisors (124642490112).

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

51346891008 is a wasteful number, since it uses less digits than its factorization.

51346891008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15050 (or 15030 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 51346891008 in words is "fifty-one billion, three hundred forty-six million, eight hundred ninety-one thousand, eight".