51442209000 has 960 divisors, whose sum is σ = 225493828560. Its totient is φ = 10842854400.

The previous prime is 51442208959. The next prime is 51442209017. The reversal of 51442209000 is 90224415.

51442209000 is a `hidden beast` number, since 514 + 42 + 20 + 90 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1760473764 + 49681735236 = 41958^2 + 222894^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 51596502 + ... + 51597498.

Almost surely, 2^51442209000 is an apocalyptic number.

51442209000 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 51442209000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112746914280).

51442209000 is an abundant number, since it is smaller than the sum of its proper divisors (174051619560).

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

51442209000 is a wasteful number, since it uses less digits than its factorization.

51442209000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

It can be divided in two parts, 5144 and 2209000, that added together give a square (2214144 = 1488²).

The spelling of 51442209000 in words is "fifty-one billion, four hundred forty-two million, two hundred nine thousand".