51118890240 has 288 divisors, whose sum is σ = 180369100800. Its totient is φ = 12234792960.

The previous prime is 51118890209. The next prime is 51118890253. The reversal of 51118890240 is 4209881115.

51118890240 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 2×51118890240² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 3329301 + ... + 3344619.

It is an arithmetic number, because the mean of its divisors is an integer number (626281600).

Almost surely, 2^51118890240 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 51118890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90184550400).

51118890240 is an abundant number, since it is smaller than the sum of its proper divisors (129250210560).

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

51118890240 is a wasteful number, since it uses less digits than its factorization.

51118890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15433 (or 15419 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 39.

The spelling of 51118890240 in words is "fifty-one billion, one hundred eighteen million, eight hundred ninety thousand, two hundred forty".