50536776008400 has 960 divisors, whose sum is σ = 186244015620096. Its totient is φ = 11594544896000.

The previous prime is 50536776008387. The next prime is 50536776008413. The reversal of 50536776008400 is 480067763505.

50536776008400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (50536776008387) and next prime (50536776008413).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11509170205 + ... + 11509174595.

Almost surely, 2^{50536776008400} is an apocalyptic number.

50536776008400 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 50536776008400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93122007810048).

50536776008400 is an abundant number, since it is smaller than the sum of its proper divisors (135707239611696).

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

50536776008400 is a wasteful number, since it uses less digits than its factorization.

50536776008400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4840 (or 4829 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The spelling of 50536776008400 in words is "fifty trillion, five hundred thirty-six billion, seven hundred seventy-six million, eight thousand, four hundred".