51220551200 has 288 divisors, whose sum is σ = 162954820224. Its totient is φ = 15256535040.

The previous prime is 51220551197. The next prime is 51220551203. The reversal of 51220551200 is 215502215.

It is an interprime number because it is at equal distance from previous prime (51220551197) and next prime (51220551203).

It is a super-3 number, since 3×51220551200³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (51220551203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1216907 + ... + 1258293.

It is an arithmetic number, because the mean of its divisors is an integer number (565815348).

Almost surely, 2^51220551200 is an apocalyptic number.

51220551200 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 51220551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81477410112).

51220551200 is an abundant number, since it is smaller than the sum of its proper divisors (111734269024).

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

51220551200 is a wasteful number, since it uses less digits than its factorization.

51220551200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41444 (or 41431 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The spelling of 51220551200 in words is "fifty-one billion, two hundred twenty million, five hundred fifty-one thousand, two hundred".