51057624147840 has 768 divisors, whose sum is σ = 185938517606400. Its totient is φ = 12885043691520.

The previous prime is 51057624147839. The next prime is 51057624147883. The reversal of 51057624147840 is 4874142675015.

It is a happy number.

51057624147840 is a `hidden beast` number, since 5 + 1 + 0 + 5 + 7 + 624 + 1 + 4 + 7 + 8 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4971041905 + ... + 4971052175.

It is an arithmetic number, because the mean of its divisors is an integer number (242107444800).

Almost surely, 2^{51057624147840} 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 51057624147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92969258803200).

51057624147840 is an abundant number, since it is smaller than the sum of its proper divisors (134880893458560).

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

51057624147840 is a wasteful number, since it uses less digits than its factorization.

51057624147840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10715 (or 10700 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 51057624147840 in words is "fifty-one trillion, fifty-seven billion, six hundred twenty-four million, one hundred forty-seven thousand, eight hundred forty".