50980551358464 has 1728 divisors, whose sum is σ = 190053457513920. Its totient is φ = 13312233308160.

The previous prime is 50980551358423. The next prime is 50980551358547. The reversal of 50980551358464 is 46485315508905.

50980551358464 is a `hidden beast` number, since 5 + 0 + 9 + 8 + 0 + 5 + 513 + 58 + 4 + 64 = 666.

50980551358464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 143 ways as a sum of consecutive naturals, for example, 211537557384 + ... + 211537557624.

It is an arithmetic number, because the mean of its divisors is an integer number (109984639765).

Almost surely, 2^{50980551358464} is an apocalyptic number.

50980551358464 is a gapful number since it is divisible by the number (54) 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 50980551358464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95026728756960).

50980551358464 is an abundant number, since it is smaller than the sum of its proper divisors (139072906155456).

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

50980551358464 is an equidigital number, since it uses as much as digits as its factorization.

50980551358464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 103680000, while the sum is 63.

The spelling of 50980551358464 in words is "fifty trillion, nine hundred eighty billion, five hundred fifty-one million, three hundred fifty-eight thousand, four hundred sixty-four".