50088456000 has 560 divisors, whose sum is σ = 202174644672. Its totient is φ = 12140928000.

The previous prime is 50088455951. The next prime is 50088456001. The reversal of 50088456000 is 65488005.

It is a happy number.

50088456000 is a `hidden beast` number, since 5 + 0 + 0 + 8 + 8 + 45 + 600 + 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 not an unprimeable number, because it can be changed into a prime (50088456001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7124487 + ... + 7131513.

Almost surely, 2^50088456000 is an apocalyptic number.

50088456000 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 50088456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101087322336).

50088456000 is an abundant number, since it is smaller than the sum of its proper divisors (152086188672).

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

50088456000 is a wasteful number, since it uses less digits than its factorization.

50088456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7077 (or 7048 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 50088456000 in words is "fifty billion, eighty-eight million, four hundred fifty-six thousand".