51950336256000 has 8064 divisors, whose sum is σ = 267450118790400. Its totient is φ = 9932577177600.

The previous prime is 51950336255989. The next prime is 51950336256001. The reversal of 51950336256000 is 65263305915.

51950336256000 is a `hidden beast` number, since 5 + 1 + 9 + 5 + 0 + 3 + 36 + 2 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8064).

It is a super-2 number, since 2×51950336256000² (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 not an unprimeable number, because it can be changed into a prime (51950336256001) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 2258710271989 + ... + 2258710272011.

It is an arithmetic number, because the mean of its divisors is an integer number (33165937350).

Almost surely, 2^{51950336256000} is an apocalyptic number.

51950336256000 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 51950336256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133725059395200).

51950336256000 is an abundant number, since it is smaller than the sum of its proper divisors (215499782534400).

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

51950336256000 is a wasteful number, since it uses less digits than its factorization.

51950336256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 51950336256000 in words is "fifty-one trillion, nine hundred fifty billion, three hundred thirty-six million, two hundred fifty-six thousand".