1483677580050 has 216 divisors, whose sum is σ = 4092430350060. Its totient is φ = 385365888000.

The previous prime is 1483677580013. The next prime is 1483677580081. The reversal of 1483677580050 is 500857763841.

It is a happy number.

1483677580050 is a `hidden beast` number, since 1 + 4 + 8 + 3 + 6 + 7 + 7 + 580 + 0 + 50 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 1006753363641 + 476924216409 = 1003371^2 + 690597^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 621044256 + ... + 621046644.

Almost surely, 2^{1483677580050} is an apocalyptic number.

1483677580050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1483677580050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046215175030).

1483677580050 is an abundant number, since it is smaller than the sum of its proper divisors (2608752770010).

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

1483677580050 is a wasteful number, since it uses less digits than its factorization.

1483677580050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 1483677580050 in words is "one trillion, four hundred eighty-three billion, six hundred seventy-seven million, five hundred eighty thousand, fifty".