50977208580480 has 6144 divisors, whose sum is σ = 249250659840000. Its totient is φ = 9860340252672.

The previous prime is 50977208580469. The next prime is 50977208580481. The reversal of 50977208580480 is 8408580277905.

50977208580480 is a `hidden beast` number, since 5 + 0 + 9 + 7 + 7 + 2 + 0 + 8 + 580 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50977208580481) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 698317925724 + ... + 698317925796.

It is an arithmetic number, because the mean of its divisors is an integer number (40568141250).

Almost surely, 2^{50977208580480} 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 50977208580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124625329920000).

50977208580480 is an abundant number, since it is smaller than the sum of its proper divisors (198273451259520).

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

50977208580480 is a wasteful number, since it uses less digits than its factorization.

50977208580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 50977208580480 in words is "fifty trillion, nine hundred seventy-seven billion, two hundred eight million, five hundred eighty thousand, four hundred eighty".