50513954400 has 1152 divisors, whose sum is σ = 232385126400. Its totient is φ = 10301644800.

The previous prime is 50513954357. The next prime is 50513954417. The reversal of 50513954400 is 445931505.

50513954400 is a `hidden beast` number, since 50 + 513 + 9 + 54 + 40 + 0 = 666.

50513954400 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 (36).

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, 60933186 + ... + 60934014.

It is an arithmetic number, because the mean of its divisors is an integer number (201723200).

Almost surely, 2^50513954400 is an apocalyptic number.

50513954400 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 50513954400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116192563200).

50513954400 is an abundant number, since it is smaller than the sum of its proper divisors (181871172000).

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

50513954400 is a wasteful number, since it uses less digits than its factorization.

50513954400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 50513954400 in words is "fifty billion, five hundred thirteen million, nine hundred fifty-four thousand, four hundred".