5577052331520 has 1440 divisors, whose sum is σ = 21830948979840. Its totient is φ = 1360712908800.

The previous prime is 5577052331509. The next prime is 5577052331537. The reversal of 5577052331520 is 251332507755.

5577052331520 is a `hidden beast` number, since 5 + 5 + 7 + 70 + 5 + 23 + 31 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×5577052331520² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11358558475 + ... + 11358558965.

It is an arithmetic number, because the mean of its divisors is an integer number (15160381236).

Almost surely, 2^{5577052331520} 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 5577052331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10915474489920).

5577052331520 is an abundant number, since it is smaller than the sum of its proper divisors (16253896648320).

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

5577052331520 is an equidigital number, since it uses as much as digits as its factorization.

5577052331520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 1102500, while the sum is 45.

The spelling of 5577052331520 in words is "five trillion, five hundred seventy-seven billion, fifty-two million, three hundred thirty-one thousand, five hundred twenty".