55758126528288 has 336 divisors, whose sum is σ = 174038498145792. Its totient is φ = 17547788160000.

The previous prime is 55758126528287. The next prime is 55758126528301. The reversal of 55758126528288 is 88282562185755.

55758126528288 is a `hidden beast` number, since 5 + 5 + 7 + 5 + 8 + 1 + 265 + 282 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (55758126528287) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28709613 + ... + 30590163.

It is an arithmetic number, because the mean of its divisors is an integer number (517971720672).

Almost surely, 2^{55758126528288} 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 55758126528288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87019249072896).

55758126528288 is an abundant number, since it is smaller than the sum of its proper divisors (118280371617504).

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

55758126528288 is a wasteful number, since it uses less digits than its factorization.

55758126528288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880651 (or 1880628 counting only the distinct ones).

The product of its digits is 860160000, while the sum is 72.

The spelling of 55758126528288 in words is "fifty-five trillion, seven hundred fifty-eight billion, one hundred twenty-six million, five hundred twenty-eight thousand, two hundred eighty-eight".