50826251664400 has 240 divisors, whose sum is σ = 125932576211968. Its totient is φ = 19704384000000.

The previous prime is 50826251664389. The next prime is 50826251664523. The reversal of 50826251664400 is 446615262805.

It is a happy number.

50826251664400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 1936151275 + ... + 1936177525.

Almost surely, 2^{50826251664400} is an apocalyptic number.

50826251664400 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 50826251664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62966288105984).

50826251664400 is an abundant number, since it is smaller than the sum of its proper divisors (75106324547568).

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

50826251664400 is a wasteful number, since it uses less digits than its factorization.

50826251664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27490 (or 27479 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 49.

The spelling of 50826251664400 in words is "fifty trillion, eight hundred twenty-six billion, two hundred fifty-one million, six hundred sixty-four thousand, four hundred".