50523825600 has 672 divisors, whose sum is σ = 192189851840. Its totient is φ = 12899450880.

The previous prime is 50523825581. The next prime is 50523825619. The reversal of 50523825600 is 652832505.

It is a happy number.

50523825600 is a `hidden beast` number, since 5 + 0 + 5 + 23 + 8 + 25 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (50523825581) and next prime (50523825619).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116682984 + ... + 116683416.

Almost surely, 2^50523825600 is an apocalyptic number.

50523825600 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 50523825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96094925920).

50523825600 is an abundant number, since it is smaller than the sum of its proper divisors (141666026240).

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

50523825600 is a wasteful number, since it uses less digits than its factorization.

50523825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 50523825600 in words is "fifty billion, five hundred twenty-three million, eight hundred twenty-five thousand, six hundred".