51952167680 has 432 divisors, whose sum is σ = 151520052096. Its totient is φ = 17000202240.

The previous prime is 51952167661. The next prime is 51952167697. The reversal of 51952167680 is 8676125915.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141558857 + ... + 141559223.

Almost surely, 2^51952167680 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 51952167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75760026048).

51952167680 is an abundant number, since it is smaller than the sum of its proper divisors (99567884416).

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

51952167680 is a wasteful number, since it uses less digits than its factorization.

51952167680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 50.

The spelling of 51952167680 in words is "fifty-one billion, nine hundred fifty-two million, one hundred sixty-seven thousand, six hundred eighty".