51952671840 has 384 divisors, whose sum is σ = 181950935040. Its totient is φ = 12404613120.

The previous prime is 51952671839. The next prime is 51952671851. The reversal of 51952671840 is 4817625915.

It is a happy number.

It is a super-2 number, since 2×51952671840² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 51952671840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 880553731 + ... + 880553789.

It is an arithmetic number, because the mean of its divisors is an integer number (473830560).

Almost surely, 2^51952671840 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 51952671840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90975467520).

51952671840 is an abundant number, since it is smaller than the sum of its proper divisors (129998263200).

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

51952671840 is an equidigital number, since it uses as much as digits as its factorization.

51952671840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 51952671840 in words is "fifty-one billion, nine hundred fifty-two million, six hundred seventy-one thousand, eight hundred forty".