51388871520 has 288 divisors, whose sum is σ = 188971519968. Its totient is φ = 11704369152.

The previous prime is 51388871467. The next prime is 51388871543. The reversal of 51388871520 is 2517888315.

It is a super-2 number, since 2×51388871520² (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 51388871520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6887632 + ... + 6895088.

It is an arithmetic number, because the mean of its divisors is an integer number (656151111).

Almost surely, 2^51388871520 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 51388871520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94485759984).

51388871520 is an abundant number, since it is smaller than the sum of its proper divisors (137582648448).

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

51388871520 is a wasteful number, since it uses less digits than its factorization.

51388871520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7782 (or 7767 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 48.

The spelling of 51388871520 in words is "fifty-one billion, three hundred eighty-eight million, eight hundred seventy-one thousand, five hundred twenty".