51094978670016 has 448 divisors, whose sum is σ = 152567079168000. Its totient is φ = 16766742085632.

The previous prime is 51094978669957. The next prime is 51094978670063. The reversal of 51094978670016 is 61007687949015.

51094978670016 is a `hidden beast` number, since 51 + 0 + 9 + 497 + 86 + 7 + 0 + 0 + 16 = 666.

51094978670016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51094978670016² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41305560150 + ... + 41305561386.

It is an arithmetic number, because the mean of its divisors is an integer number (340551516000).

Almost surely, 2^{51094978670016} 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 51094978670016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76283539584000).

51094978670016 is an abundant number, since it is smaller than the sum of its proper divisors (101472100497984).

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

51094978670016 is a wasteful number, since it uses less digits than its factorization.

51094978670016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 51094978670016 in words is "fifty-one trillion, ninety-four billion, nine hundred seventy-eight million, six hundred seventy thousand, sixteen".