50953827600 has 600 divisors, whose sum is σ = 207333674240. Its totient is φ = 11880483840.

The previous prime is 50953827599. The next prime is 50953827641. The reversal of 50953827600 is 672835905.

It is a happy number.

50953827600 is a `hidden beast` number, since 5 + 0 + 9 + 5 + 38 + 2 + 7 + 600 = 666.

50953827600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7999617 + ... + 8005983.

Almost surely, 2^50953827600 is an apocalyptic number.

50953827600 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 50953827600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103666837120).

50953827600 is an abundant number, since it is smaller than the sum of its proper divisors (156379846640).

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

50953827600 is a wasteful number, since it uses less digits than its factorization.

50953827600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6429 (or 6409 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 50953827600 in words is "fifty billion, nine hundred fifty-three million, eight hundred twenty-seven thousand, six hundred".