51668977200 has 240 divisors, whose sum is σ = 180904421376. Its totient is φ = 12549427200.

The previous prime is 51668977189. The next prime is 51668977253. The reversal of 51668977200 is 277986615.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 591549 + ... + 673251.

Almost surely, 2^51668977200 is an apocalyptic number.

51668977200 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 51668977200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90452210688).

51668977200 is an abundant number, since it is smaller than the sum of its proper divisors (129235444176).

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

51668977200 is a wasteful number, since it uses less digits than its factorization.

51668977200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81772 (or 81761 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 51668977200 in words is "fifty-one billion, six hundred sixty-eight million, nine hundred seventy-seven thousand, two hundred".