5201771501920 has 288 divisors, whose sum is σ = 14450790850272. Its totient is φ = 1764203470848.

The previous prime is 5201771501909. The next prime is 5201771501947. The reversal of 5201771501920 is 291051771025.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 279400452 + ... + 279419068.

It is an arithmetic number, because the mean of its divisors is an integer number (50176357119).

Almost surely, 2^{5201771501920} 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 5201771501920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7225395425136).

5201771501920 is an abundant number, since it is smaller than the sum of its proper divisors (9249019348352).

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

5201771501920 is a wasteful number, since it uses less digits than its factorization.

5201771501920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19030 (or 19015 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 40.

The spelling of 5201771501920 in words is "five trillion, two hundred one billion, seven hundred seventy-one million, five hundred one thousand, nine hundred twenty".