51601864800 has 144 divisors (see below), whose sum is σ = 168818226192. Its totient is φ = 13690521600.

The previous prime is 51601864771. The next prime is 51601864807. The reversal of 51601864800 is 846810615.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51601864807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418230 + ... + 527370.

It is an arithmetic number, because the mean of its divisors is an integer number (1172348793).

Almost surely, 2^51601864800 is an apocalyptic number.

51601864800 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 51601864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84409113096).

51601864800 is an abundant number, since it is smaller than the sum of its proper divisors (117216361392).

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

51601864800 is a wasteful number, since it uses less digits than its factorization.

51601864800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109361 (or 109348 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 51601864800 in words is "fifty-one billion, six hundred one million, eight hundred sixty-four thousand, eight hundred".