5777990003520 has 672 divisors, whose sum is σ = 23734322067456. Its totient is φ = 1310585702400.

The previous prime is 5777990003503. The next prime is 5777990003531. The reversal of 5777990003520 is 253000997775.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×5777990003520³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 95 ways as a sum of consecutive naturals, for example, 71265405 + ... + 71346435.

It is an arithmetic number, because the mean of its divisors is an integer number (35318931648).

Almost surely, 2^{5777990003520} 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 5777990003520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11867161033728).

5777990003520 is an abundant number, since it is smaller than the sum of its proper divisors (17956332063936).

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

5777990003520 is a wasteful number, since it uses less digits than its factorization.

5777990003520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81201 (or 81179 counting only the distinct ones).

The product of its (nonzero) digits is 4167450, while the sum is 54.

The spelling of 5777990003520 in words is "five trillion, seven hundred seventy-seven billion, nine hundred ninety million, three thousand, five hundred twenty".