5577258240000 has 1680 divisors, whose sum is σ = 21533063151600. Its totient is φ = 1442230272000.

The previous prime is 5577258239981. The next prime is 5577258240079. The reversal of 5577258240000 is 428527755.

5577258240000 is a `hidden beast` number, since 5 + 577 + 2 + 58 + 24 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×5577258240000² (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 an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 40124159931 + ... + 40124160069.

It is an arithmetic number, because the mean of its divisors is an integer number (12817299495).

Almost surely, 2^{5577258240000} is an apocalyptic number.

5577258240000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5577258240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10766531575800).

5577258240000 is an abundant number, since it is smaller than the sum of its proper divisors (15955804911600).

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

5577258240000 is an frugal number, since it uses more digits than its factorization.

5577258240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The spelling of 5577258240000 in words is "five trillion, five hundred seventy-seven billion, two hundred fifty-eight million, two hundred forty thousand".