51029049120 has 192 divisors, whose sum is σ = 184029947136. Its totient is φ = 11643125760.

The previous prime is 51029049119. The next prime is 51029049179. The reversal of 51029049120 is 2194092015.

51029049120 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-3 number, since 3×51029049120³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1925560 + ... + 1951880.

It is an arithmetic number, because the mean of its divisors is an integer number (958489308).

Almost surely, 2^51029049120 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 51029049120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92014973568).

51029049120 is an abundant number, since it is smaller than the sum of its proper divisors (133000898016).

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

51029049120 is a wasteful number, since it uses less digits than its factorization.

51029049120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26923 (or 26915 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 51029049120 in words is "fifty-one billion, twenty-nine million, forty-nine thousand, one hundred twenty".