51738701664000 has 576 divisors, whose sum is σ = 193115935853568. Its totient is φ = 12181948416000.

The previous prime is 51738701663981. The next prime is 51738701664031. The reversal of 51738701664000 is 46610783715.

51738701664000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27802755 + ... + 29605245.

It is an arithmetic number, because the mean of its divisors is an integer number (335270721968).

Almost surely, 2^{51738701664000} is an apocalyptic number.

51738701664000 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 51738701664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96557967926784).

51738701664000 is an abundant number, since it is smaller than the sum of its proper divisors (141377234189568).

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

51738701664000 is a wasteful number, since it uses less digits than its factorization.

51738701664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802561 (or 1802537 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 51738701664000 in words is "fifty-one trillion, seven hundred thirty-eight billion, seven hundred one million, six hundred sixty-four thousand".