51955416000 has 336 divisors, whose sum is σ = 186377823840. Its totient is φ = 13815705600.

The previous prime is 51955415987. The next prime is 51955416017. The reversal of 51955416000 is 61455915.

51955416000 is a `hidden beast` number, since 5 + 1 + 9 + 5 + 5 + 41 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32903211 + ... + 32904789.

Almost surely, 2^51955416000 is an apocalyptic number.

51955416000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51955416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93188911920).

51955416000 is an abundant number, since it is smaller than the sum of its proper divisors (134422407840).

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

51955416000 is a wasteful number, since it uses less digits than its factorization.

51955416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 51955416000 in words is "fifty-one billion, nine hundred fifty-five million, four hundred sixteen thousand".