50077871917920 has 3456 divisors, whose sum is σ = 237110369513472. Its totient is φ = 9850188902400.

The previous prime is 50077871917873. The next prime is 50077871917933. The reversal of 50077871917920 is 2971917877005.

50077871917920 is a `hidden beast` number, since 500 + 7 + 7 + 87 + 19 + 17 + 9 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 51573503035 + ... + 51573504005.

It is an arithmetic number, because the mean of its divisors is an integer number (68608324512).

Almost surely, 2^{50077871917920} 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 50077871917920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118555184756736).

50077871917920 is an abundant number, since it is smaller than the sum of its proper divisors (187032497595552).

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

50077871917920 is a wasteful number, since it uses less digits than its factorization.

50077871917920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 15558480, while the sum is 63.

The spelling of 50077871917920 in words is "fifty trillion, seventy-seven billion, eight hundred seventy-one million, nine hundred seventeen thousand, nine hundred twenty".