50978412484560 has 1280 divisors, whose sum is σ = 201788684697600. Its totient is φ = 11708988825600.

The previous prime is 50978412484523. The next prime is 50978412484561. The reversal of 50978412484560 is 6548421487905.

It is a happy number.

50978412484560 is a `hidden beast` number, since 5 + 0 + 9 + 7 + 8 + 41 + 24 + 8 + 4 + 560 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50978412484561) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28981472961 + ... + 28981474719.

It is an arithmetic number, because the mean of its divisors is an integer number (157647409920).

Almost surely, 2^{50978412484560} 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 50978412484560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100894342348800).

50978412484560 is an abundant number, since it is smaller than the sum of its proper divisors (150810272213040).

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

50978412484560 is a wasteful number, since it uses less digits than its factorization.

50978412484560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 50978412484560 in words is "fifty trillion, nine hundred seventy-eight billion, four hundred twelve million, four hundred eighty-four thousand, five hundred sixty".