51894374400000 has 1152 divisors, whose sum is σ = 204456113971200. Its totient is φ = 12577996800000.

The previous prime is 51894374399999. The next prime is 51894374400007. The reversal of 51894374400000 is 447349815.

51894374400000 is a `hidden beast` number, since 518 + 94 + 3 + 7 + 4 + 40 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (51894374400007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10137597441 + ... + 10137602559.

It is an arithmetic number, because the mean of its divisors is an integer number (177479265600).

Almost surely, 2^{51894374400000} is an apocalyptic number.

51894374400000 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 51894374400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102228056985600).

51894374400000 is an abundant number, since it is smaller than the sum of its proper divisors (152561739571200).

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

51894374400000 is an frugal number, since it uses more digits than its factorization.

51894374400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5191 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 51894374400000 in words is "fifty-one trillion, eight hundred ninety-four billion, three hundred seventy-four million, four hundred thousand".