51776467050000 has 960 divisors, whose sum is σ = 209526377453568. Its totient is φ = 10702540800000.

The previous prime is 51776467049953. The next prime is 51776467050023. The reversal of 51776467050000 is 5076467715.

51776467050000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

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 191 ways as a sum of consecutive naturals, for example, 2229138387 + ... + 2229161613.

Almost surely, 2^{51776467050000} is an apocalyptic number.

51776467050000 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 51776467050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104763188726784).

51776467050000 is an abundant number, since it is smaller than the sum of its proper divisors (157749910403568).

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

51776467050000 is a wasteful number, since it uses less digits than its factorization.

51776467050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23474 (or 23448 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 48.

The spelling of 51776467050000 in words is "fifty-one trillion, seven hundred seventy-six billion, four hundred sixty-seven million, fifty thousand".