51106367664 has 320 divisors, whose sum is σ = 164400192000. Its totient is φ = 15068851200.

The previous prime is 51106367651. The next prime is 51106367743. The reversal of 51106367664 is 46676360115.

51106367664 is a `hidden beast` number, since 5 + 1 + 1 + 0 + 636 + 7 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×51106367664² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32992362 + ... + 32993910.

It is an arithmetic number, because the mean of its divisors is an integer number (513750600).

Almost surely, 2^51106367664 is an apocalyptic number.

51106367664 is a gapful number since it is divisible by the number (54) 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 51106367664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82200096000).

51106367664 is an abundant number, since it is smaller than the sum of its proper divisors (113293824336).

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

51106367664 is a wasteful number, since it uses less digits than its factorization.

51106367664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 51106367664 in words is "fifty-one billion, one hundred six million, three hundred sixty-seven thousand, six hundred sixty-four".