126585282098352 has 240 divisors, whose sum is σ = 426199439204352. Its totient is φ = 31990664240640.

The previous prime is 126585282098333. The next prime is 126585282098371. The reversal of 126585282098352 is 253890282585621.

It is an interprime number because it is at equal distance from previous prime (126585282098333) and next prime (126585282098371).

It is a super-2 number, since 2×126585282098352² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 65161008 + ... + 67075535.

Almost surely, 2^{126585282098352} is an apocalyptic number.

126585282098352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126585282098352 is an abundant number, since it is smaller than the sum of its proper divisors (299614157106000).

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

126585282098352 is a wasteful number, since it uses less digits than its factorization.

126585282098352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132236616 (or 132236603 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 66.

The spelling of 126585282098352 in words is "one hundred twenty-six trillion, five hundred eighty-five billion, two hundred eighty-two million, ninety-eight thousand, three hundred fifty-two".