51954604416 has 768 divisors, whose sum is σ = 191443392000. Its totient is φ = 13740503040.

The previous prime is 51954604363. The next prime is 51954604421. The reversal of 51954604416 is 61440645915.

51954604416 is a `hidden beast` number, since 5 + 195 + 46 + 0 + 4 + 416 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103289221 + ... + 103289723.

It is an arithmetic number, because the mean of its divisors is an integer number (249275250).

Almost surely, 2^51954604416 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 51954604416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95721696000).

51954604416 is an abundant number, since it is smaller than the sum of its proper divisors (139488787584).

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

51954604416 is a wasteful number, since it uses less digits than its factorization.

51954604416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 51954604416 in words is "fifty-one billion, nine hundred fifty-four million, six hundred four thousand, four hundred sixteen".