51971082624 has 192 divisors, whose sum is σ = 161836496640. Its totient is φ = 16570262016.

The previous prime is 51971082623. The next prime is 51971082643. The reversal of 51971082624 is 42628017915.

51971082624 is a `hidden beast` number, since 5 + 1 + 9 + 7 + 10 + 8 + 2 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×51971082624² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51971082624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51971082623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 679069 + ... + 751715.

It is an arithmetic number, because the mean of its divisors is an integer number (842898420).

Almost surely, 2^51971082624 is an apocalyptic number.

51971082624 is a gapful number since it is divisible by the number (54) 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 51971082624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80918248320).

51971082624 is an abundant number, since it is smaller than the sum of its proper divisors (109865414016).

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

51971082624 is an equidigital number, since it uses as much as digits as its factorization.

51971082624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72699 (or 72675 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 51971082624 in words is "fifty-one billion, nine hundred seventy-one million, eighty-two thousand, six hundred twenty-four".