126885553490240 has 224 divisors, whose sum is σ = 311346824035104. Its totient is φ = 49217969848320.

The previous prime is 126885553490233. The next prime is 126885553490261. The reversal of 126885553490240 is 42094355588621.

It can be written as a sum of positive squares in 16 ways, for example, as 23269277982976 + 103616275507264 = 4823824^2 + 10179208^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17640140084 + ... + 17640147276.

Almost surely, 2^{126885553490240} is an apocalyptic number.

126885553490240 is a gapful number since it is divisible by the number (10) 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 126885553490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155673412017552).

126885553490240 is an abundant number, since it is smaller than the sum of its proper divisors (184461270544864).

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

126885553490240 is a wasteful number, since it uses less digits than its factorization.

126885553490240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12005 (or 11995 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 62.

The spelling of 126885553490240 in words is "one hundred twenty-six trillion, eight hundred eighty-five billion, five hundred fifty-three million, four hundred ninety thousand, two hundred forty".