51876246681600 has 1152 divisors, whose sum is σ = 193055193676800. Its totient is φ = 12180927283200.

The previous prime is 51876246681527. The next prime is 51876246681607. The reversal of 51876246681600 is 618664267815.

It is a happy number.

It is a super-2 number, since 2×51876246681600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51876246681607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7074351534 + ... + 7074358866.

It is an arithmetic number, because the mean of its divisors is an integer number (167582633400).

Almost surely, 2^{51876246681600} is an apocalyptic number.

51876246681600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51876246681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96527596838400).

51876246681600 is an abundant number, since it is smaller than the sum of its proper divisors (141178946995200).

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

51876246681600 is a wasteful number, since it uses less digits than its factorization.

51876246681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7511 (or 7486 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 51876246681600 in words is "fifty-one trillion, eight hundred seventy-six billion, two hundred forty-six million, six hundred eighty-one thousand, six hundred".