51002675460 has 480 divisors, whose sum is σ = 194558474880. Its totient is φ = 11023257600.

The previous prime is 51002675393. The next prime is 51002675509. The reversal of 51002675460 is 6457620015.

It is a happy number.

51002675460 is a `hidden beast` number, since 5 + 100 + 2 + 6 + 7 + 546 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5751430 + ... + 5760290.

It is an arithmetic number, because the mean of its divisors is an integer number (405330156).

Almost surely, 2^51002675460 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 51002675460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97279237440).

51002675460 is an abundant number, since it is smaller than the sum of its proper divisors (143555799420).

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

51002675460 is a wasteful number, since it uses less digits than its factorization.

51002675460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8929 (or 8918 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 51002675460 in words is "fifty-one billion, two million, six hundred seventy-five thousand, four hundred sixty".