51122891059200 has 780 divisors, whose sum is σ = 199338944230360. Its totient is φ = 12915216875520.

The previous prime is 51122891059087. The next prime is 51122891059241. The reversal of 51122891059200 is 295019822115.

It is a happy number.

51122891059200 is a `hidden beast` number, since 5 + 112 + 289 + 1 + 0 + 59 + 200 = 666.

51122891059200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51122891059200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 157431402 + ... + 157755798.

Almost surely, 2^{51122891059200} is an apocalyptic number.

51122891059200 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 51122891059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99669472115180).

51122891059200 is an abundant number, since it is smaller than the sum of its proper divisors (148216053171160).

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

51122891059200 is a wasteful number, since it uses less digits than its factorization.

51122891059200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324462 (or 324426 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 51122891059200 in words is "fifty-one trillion, one hundred twenty-two billion, eight hundred ninety-one million, fifty-nine thousand, two hundred".