5151151066656 has 384 divisors, whose sum is σ = 15688933134336. Its totient is φ = 1449569157120.

The previous prime is 5151151066639. The next prime is 5151151066669. The reversal of 5151151066656 is 6566601511515.

It is a super-2 number, since 2×5151151066656² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7654013136 + ... + 7654013808.

It is an arithmetic number, because the mean of its divisors is an integer number (40856596704).

Almost surely, 2^{5151151066656} is an apocalyptic number.

5151151066656 is a gapful number since it is divisible by the number (56) 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 5151151066656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7844466567168).

5151151066656 is an abundant number, since it is smaller than the sum of its proper divisors (10537782067680).

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

5151151066656 is a wasteful number, since it uses less digits than its factorization.

5151151066656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 48.

The spelling of 5151151066656 in words is "five trillion, one hundred fifty-one billion, one hundred fifty-one million, sixty-six thousand, six hundred fifty-six".