50513472000 has 240 divisors, whose sum is σ = 181942129512. Its totient is φ = 13470105600.

The previous prime is 50513471977. The next prime is 50513472007. The reversal of 50513472000 is 27431505.

It is a happy number.

50513472000 is a `hidden beast` number, since 505 + 134 + 7 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32694425856 + 17819046144 = 180816^2 + 133488^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×50513472000² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (50513472007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 532152 + ... + 619848.

Almost surely, 2^50513472000 is an apocalyptic number.

50513472000 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 50513472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90971064756).

50513472000 is an abundant number, since it is smaller than the sum of its proper divisors (131428657512).

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

50513472000 is an equidigital number, since it uses as much as digits as its factorization.

50513472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87736 (or 87707 counting only the distinct ones).

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

The spelling of 50513472000 in words is "fifty billion, five hundred thirteen million, four hundred seventy-two thousand".