51749033656320 has 5760 divisors, whose sum is σ = 259688278886400. Its totient is φ = 9738607656960.

The previous prime is 51749033656283. The next prime is 51749033656343. The reversal of 51749033656320 is 2365633094715.

51749033656320 is a `hidden beast` number, since 5 + 1 + 7 + 49 + 0 + 3 + 36 + 563 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 976396861414 + ... + 976396861466.

It is an arithmetic number, because the mean of its divisors is an integer number (45084770640).

Almost surely, 2^{51749033656320} 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 51749033656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129844139443200).

51749033656320 is an abundant number, since it is smaller than the sum of its proper divisors (207939245230080).

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

51749033656320 is an equidigital number, since it uses as much as digits as its factorization.

51749033656320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 51749033656320 in words is "fifty-one trillion, seven hundred forty-nine billion, thirty-three million, six hundred fifty-six thousand, three hundred twenty".