51244525200 has 240 divisors, whose sum is σ = 184854454272. Its totient is φ = 12022080000.

The previous prime is 51244525193. The next prime is 51244525207. The reversal of 51244525200 is 252544215.

It is an interprime number because it is at equal distance from previous prime (51244525193) and next prime (51244525207).

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (51244525207) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 346585 + ... + 471815.

Almost surely, 2^51244525200 is an apocalyptic number.

51244525200 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 51244525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92427227136).

51244525200 is an abundant number, since it is smaller than the sum of its proper divisors (133609929072).

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

51244525200 is a wasteful number, since it uses less digits than its factorization.

51244525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125294 (or 125283 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 51244525200 in words is "fifty-one billion, two hundred forty-four million, five hundred twenty-five thousand, two hundred".