51211645125004 has 384 divisors, whose sum is σ = 119080042099200. Its totient is φ = 19123137331200.

The previous prime is 51211645124951. The next prime is 51211645125013. The reversal of 51211645125004 is 40052154611215.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4897350144 + ... + 4897360600.

It is an arithmetic number, because the mean of its divisors is an integer number (310104276300).

Almost surely, 2^{51211645125004} 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 51211645125004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59540021049600).

51211645125004 is an abundant number, since it is smaller than the sum of its proper divisors (67868396974196).

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

51211645125004 is a wasteful number, since it uses less digits than its factorization.

51211645125004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10754 (or 10738 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 37.

Adding to 51211645125004 its reverse (40052154611215), we get a palindrome (91263799736219).

The spelling of 51211645125004 in words is "fifty-one trillion, two hundred eleven billion, six hundred forty-five million, one hundred twenty-five thousand, four".