50077691593020 has 2304 divisors, whose sum is σ = 212453902080000. Its totient is φ = 9674229841920.

The previous prime is 50077691593019. The next prime is 50077691593057. The reversal of 50077691593020 is 2039519677005.

50077691593020 is a `hidden beast` number, since 500 + 7 + 7 + 69 + 1 + 59 + 3 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 23521695316 + ... + 23521697444.

It is an arithmetic number, because the mean of its divisors is an integer number (92210895000).

Almost surely, 2^{50077691593020} 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 50077691593020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106226951040000).

50077691593020 is an abundant number, since it is smaller than the sum of its proper divisors (162376210486980).

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

50077691593020 is a wasteful number, since it uses less digits than its factorization.

50077691593020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 50077691593020 in words is "fifty trillion, seventy-seven billion, six hundred ninety-one million, five hundred ninety-three thousand, twenty".