51655858800 has 360 divisors, whose sum is σ = 207296325936. Its totient is φ = 10898657280.

The previous prime is 51655858739. The next prime is 51655858817. The reversal of 51655858800 is 885855615.

It is a happy number.

51655858800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 730612 + ... + 798188.

Almost surely, 2^51655858800 is an apocalyptic number.

51655858800 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 51655858800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103648162968).

51655858800 is an abundant number, since it is smaller than the sum of its proper divisors (155640467136).

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

51655858800 is a wasteful number, since it uses less digits than its factorization.

51655858800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67625 (or 67607 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 51.

The spelling of 51655858800 in words is "fifty-one billion, six hundred fifty-five million, eight hundred fifty-eight thousand, eight hundred".