51765648480000 has 2520 divisors, whose sum is σ = 238315294169568. Its totient is φ = 10919743488000.

The previous prime is 51765648479971. The next prime is 51765648480023. The reversal of 51765648480000 is 8484656715.

51765648480000 is a `hidden beast` number, since 5 + 1 + 76 + 56 + 48 + 480 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 10614237562 + ... + 10614242438.

Almost surely, 2^{51765648480000} is an apocalyptic number.

51765648480000 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 51765648480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119157647084784).

51765648480000 is an abundant number, since it is smaller than the sum of its proper divisors (186549645689568).

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

51765648480000 is an frugal number, since it uses more digits than its factorization.

51765648480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4951 (or 4907 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 51765648480000 in words is "fifty-one trillion, seven hundred sixty-five billion, six hundred forty-eight million, four hundred eighty thousand".