50387097600 has 1152 divisors, whose sum is σ = 218386022400. Its totient is φ = 11147673600.

The previous prime is 50387097599. The next prime is 50387097617. The reversal of 50387097600 is 679078305.

It is a happy number.

50387097600 is a `hidden beast` number, since 5 + 0 + 38 + 7 + 0 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 396748737 + ... + 396748863.

It is an arithmetic number, because the mean of its divisors is an integer number (189571200).

Almost surely, 2^50387097600 is an apocalyptic number.

50387097600 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 50387097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109193011200).

50387097600 is an abundant number, since it is smaller than the sum of its proper divisors (167998924800).

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

50387097600 is a wasteful number, since it uses less digits than its factorization.

50387097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 50387097600 in words is "fifty billion, three hundred eighty-seven million, ninety-seven thousand, six hundred".