50990988948480 has 2200 divisors, whose sum is σ = 218537955405000. Its totient is φ = 11361708933120.

The previous prime is 50990988948467. The next prime is 50990988948491. The reversal of 50990988948480 is 8484988909905.

It is a happy number.

50990988948480 is a `hidden beast` number, since 5 + 0 + 9 + 9 + 0 + 98 + 8 + 9 + 48 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1792336896 + 50989196611584 = 42336^2 + 7140672^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 50990988948480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 40825450896 + ... + 40825452144.

It is an arithmetic number, because the mean of its divisors is an integer number (99335434275).

Almost surely, 2^{50990988948480} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50990988948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109268977702500).

50990988948480 is an abundant number, since it is smaller than the sum of its proper divisors (167546966456520).

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

50990988948480 is an equidigital number, since it uses as much as digits as its factorization.

50990988948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 2149908480, while the sum is 81.

The spelling of 50990988948480 in words is "fifty trillion, nine hundred ninety billion, nine hundred eighty-eight million, nine hundred forty-eight thousand, four hundred eighty".