51876281040 has 160 divisors (see below), whose sum is σ = 168937401600. Its totient is φ = 13143195648.

The previous prime is 51876281003. The next prime is 51876281081. The reversal of 51876281040 is 4018267815.

It is a super-3 number, since 3×51876281040³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 51876280983 and 51876281001.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 790944 + ... + 854016.

It is an arithmetic number, because the mean of its divisors is an integer number (1055858760).

Almost surely, 2^51876281040 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 51876281040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84468700800).

51876281040 is an abundant number, since it is smaller than the sum of its proper divisors (117061120560).

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

51876281040 is a wasteful number, since it uses less digits than its factorization.

51876281040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63261 (or 63255 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 51876281040 in words is "fifty-one billion, eight hundred seventy-six million, two hundred eighty-one thousand, forty".