5100127662444 has 192 divisors, whose sum is σ = 12407705856000. Its totient is φ = 1629691176960.

The previous prime is 5100127662431. The next prime is 5100127662457. The reversal of 5100127662444 is 4442667210015.

It is an interprime number because it is at equal distance from previous prime (5100127662431) and next prime (5100127662457).

It is a super-2 number, since 2×5100127662444² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5100127662396 and 5100127662405.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1536644217 + ... + 1536647535.

It is an arithmetic number, because the mean of its divisors is an integer number (64623468000).

Almost surely, 2^{5100127662444} is an apocalyptic number.

It is an amenable number.

5100127662444 is an abundant number, since it is smaller than the sum of its proper divisors (7307578193556).

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

5100127662444 is a wasteful number, since it uses less digits than its factorization.

5100127662444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808 (or 3806 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 5100127662444 in words is "five trillion, one hundred billion, one hundred twenty-seven million, six hundred sixty-two thousand, four hundred forty-four".