51627719676 has 96 divisors (see below), whose sum is σ = 137006383360. Its totient is φ = 15000090624.

The previous prime is 51627719669. The next prime is 51627719683. The reversal of 51627719676 is 67691772615.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (51627719669) and next prime (51627719683).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 881580 + ... + 938316.

Almost surely, 2^51627719676 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 51627719676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68503191680).

51627719676 is an abundant number, since it is smaller than the sum of its proper divisors (85378663684).

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

51627719676 is a wasteful number, since it uses less digits than its factorization.

51627719676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57083 (or 57081 counting only the distinct ones).

The product of its digits is 6667920, while the sum is 57.

The spelling of 51627719676 in words is "fifty-one billion, six hundred twenty-seven million, seven hundred nineteen thousand, six hundred seventy-six".