51003624672 has 768 divisors, whose sum is σ = 211544524800. Its totient is φ = 11505991680.

The previous prime is 51003624667. The next prime is 51003624697. The reversal of 51003624672 is 27642630015.

51003624672 is a `hidden beast` number, since 510 + 0 + 36 + 2 + 46 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14700954 + ... + 14704422.

It is an arithmetic number, because the mean of its divisors is an integer number (275448600).

Almost surely, 2^51003624672 is an apocalyptic number.

51003624672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51003624672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105772262400).

51003624672 is an abundant number, since it is smaller than the sum of its proper divisors (160540900128).

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

51003624672 is a wasteful number, since it uses less digits than its factorization.

51003624672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3536 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 51003624672 in words is "fifty-one billion, three million, six hundred twenty-four thousand, six hundred seventy-two".