127563311040 has 336 divisors, whose sum is σ = 448737386496. Its totient is φ = 30677391360.

The previous prime is 127563311011. The next prime is 127563311053. The reversal of 127563311040 is 40113365721.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 127563310992 and 127563311010.

It is a congruent number.

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, 14747997 + ... + 14756643.

It is an arithmetic number, because the mean of its divisors is an integer number (1335527936).

Almost surely, 2^127563311040 is an apocalyptic number.

127563311040 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 127563311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224368693248).

127563311040 is an abundant number, since it is smaller than the sum of its proper divisors (321174075456).

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

127563311040 is a wasteful number, since it uses less digits than its factorization.

127563311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8816 (or 8795 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

Adding to 127563311040 its reverse (40113365721), we get a palindrome (167676676761).

The spelling of 127563311040 in words is "one hundred twenty-seven billion, five hundred sixty-three million, three hundred eleven thousand, forty".