50416773120 has 576 divisors, whose sum is σ = 206221317120. Its totient is φ = 11147673600.

The previous prime is 50416773109. The next prime is 50416773131. The reversal of 50416773120 is 2137761405.

It is a happy number.

50416773120 is a `hidden beast` number, since 50 + 416 + 7 + 73 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (50416773109) and next prime (50416773131).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19997460 + ... + 19999980.

It is an arithmetic number, because the mean of its divisors is an integer number (358023120).

Almost surely, 2^50416773120 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 50416773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103110658560).

50416773120 is an abundant number, since it is smaller than the sum of its proper divisors (155804544000).

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

50416773120 is a wasteful number, since it uses less digits than its factorization.

50416773120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 50416773120 in words is "fifty billion, four hundred sixteen million, seven hundred seventy-three thousand, one hundred twenty".