50655362400 has 432 divisors, whose sum is σ = 189725294304. Its totient is φ = 12673597440.

The previous prime is 50655362347. The next prime is 50655362423. The reversal of 50655362400 is 426355605.

It is a happy number.

50655362400 is a `hidden beast` number, since 5 + 0 + 6 + 553 + 62 + 40 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 68176429 + ... + 68177171.

It is an arithmetic number, because the mean of its divisors is an integer number (439178922).

Almost surely, 2^50655362400 is an apocalyptic number.

50655362400 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 50655362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94862647152).

50655362400 is an abundant number, since it is smaller than the sum of its proper divisors (139069931904).

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

50655362400 is a wasteful number, since it uses less digits than its factorization.

50655362400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 50655362400 in words is "fifty billion, six hundred fifty-five million, three hundred sixty-two thousand, four hundred".