50072256000 has 800 divisors, whose sum is σ = 201134501568. Its totient is φ = 12308889600.

The previous prime is 50072255999. The next prime is 50072256001. The reversal of 50072256000 is 65227005.

50072256000 is a `hidden beast` number, since 50 + 0 + 7 + 2 + 2 + 5 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (50072255999) and next prime (50072256001).

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50072256001) 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, 67391629 + ... + 67392371.

Almost surely, 2^50072256000 is an apocalyptic number.

50072256000 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 50072256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100567250784).

50072256000 is an abundant number, since it is smaller than the sum of its proper divisors (151062245568).

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

50072256000 is an equidigital number, since it uses as much as digits as its factorization.

50072256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The spelling of 50072256000 in words is "fifty billion, seventy-two million, two hundred fifty-six thousand".