51086141067438 has 160 divisors (see below), whose sum is σ = 124216147351296. Its totient is φ = 15629934120192.

The previous prime is 51086141067397. The next prime is 51086141067461. The reversal of 51086141067438 is 83476014168015.

51086141067438 is a `hidden beast` number, since 5 + 1 + 0 + 8 + 6 + 141 + 0 + 67 + 438 = 666.

It is a super-3 number, since 3×51086141067438³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 75809895 + ... + 76480797.

Almost surely, 2^{51086141067438} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51086141067438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62108073675648).

51086141067438 is an abundant number, since it is smaller than the sum of its proper divisors (73130006283858).

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

51086141067438 is a wasteful number, since it uses less digits than its factorization.

51086141067438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671620 (or 671611 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 51086141067438 in words is "fifty-one trillion, eighty-six billion, one hundred forty-one million, sixty-seven thousand, four hundred thirty-eight".