51101259918912 has 336 divisors, whose sum is σ = 175486563936000. Its totient is φ = 14539264846848.

The previous prime is 51101259918911. The next prime is 51101259918953. The reversal of 51101259918912 is 21981995210115.

51101259918912 is a `hidden beast` number, since 5 + 1 + 10 + 12 + 599 + 18 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×51101259918912² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (51101259918911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18974014 + ... + 21499202.

Almost surely, 2^{51101259918912} 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 51101259918912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87743281968000).

51101259918912 is an abundant number, since it is smaller than the sum of its proper divisors (124385304017088).

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

51101259918912 is a wasteful number, since it uses less digits than its factorization.

51101259918912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2525463 (or 2525440 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 54.

The spelling of 51101259918912 in words is "fifty-one trillion, one hundred one billion, two hundred fifty-nine million, nine hundred eighteen thousand, nine hundred twelve".