51683703281280 has 3840 divisors, whose sum is σ = 231689726991360. Its totient is φ = 10970982973440.

The previous prime is 51683703281267. The next prime is 51683703281293. The reversal of 51683703281280 is 8218230738615.

51683703281280 is a `hidden beast` number, since 5 + 1 + 6 + 8 + 37 + 0 + 328 + 1 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (51683703281267) and next prime (51683703281293).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 707995935324 + ... + 707995935396.

It is an arithmetic number, because the mean of its divisors is an integer number (60335866404).

Almost surely, 2^{51683703281280} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51683703281280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115844863495680).

51683703281280 is an abundant number, since it is smaller than the sum of its proper divisors (180006023710080).

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

51683703281280 is an frugal number, since it uses more digits than its factorization.

51683703281280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 51683703281280 in words is "fifty-one trillion, six hundred eighty-three billion, seven hundred three million, two hundred eighty-one thousand, two hundred eighty".