127633000000 has 392 divisors, whose sum is σ = 355039830432. Its totient is φ = 45120000000.

The previous prime is 127632999953. The next prime is 127633000003. The reversal of 127633000000 is 336721.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (127633000003) 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, 450999859 + ... + 451000141.

Almost surely, 2^127633000000 is an apocalyptic number.

127633000000 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 127633000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177519915216).

127633000000 is an abundant number, since it is smaller than the sum of its proper divisors (227406830432).

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

127633000000 is an frugal number, since it uses more digits than its factorization.

127633000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

Adding to 127633000000 its reverse (336721), we get a palindrome (127633336721).

The spelling of 127633000000 in words is "one hundred twenty-seven billion, six hundred thirty-three million", and thus it is an aban number.