50400250000 has 105 divisors (see below), whose sum is σ = 122334000511. Its totient is φ = 20115200000.

The previous prime is 50400249983. The next prime is 50400250007. The reversal of 50400250000 is 5200405.

It is a happy number.

The square root of 50400250000 is 224500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 45602748304 + 4797501696 = 213548^2 + 69264^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (50400250007) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 112249776 + ... + 112250224.

Almost surely, 2^50400250000 is an apocalyptic number.

50400250000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

50400250000 is the 224500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50400250000

50400250000 is an abundant number, since it is smaller than the sum of its proper divisors (71933750511).

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

50400250000 is an frugal number, since it uses more digits than its factorization.

50400250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

Multiplying 50400250000 by its sum of digits (16), we get a square (806404000000 = 898000²).

50400250000 divided by its sum of digits (16) gives a square (3150015625 = 56125²).

Adding to 50400250000 its reverse (5200405), we get a palindrome (50405450405).

The spelling of 50400250000 in words is "fifty billion, four hundred million, two hundred fifty thousand".