127987600000 has 384 divisors, whose sum is σ = 347606501760. Its totient is φ = 46656000000.

The previous prime is 127987599983. The next prime is 127987600009. The reversal of 127987600000 is 6789721.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (127987600009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 785199919 + ... + 785200081.

It is an arithmetic number, because the mean of its divisors is an integer number (905225265).

Almost surely, 2^127987600000 is an apocalyptic number.

127987600000 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 127987600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173803250880).

127987600000 is an abundant number, since it is smaller than the sum of its proper divisors (219618901760).

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

127987600000 is an equidigital number, since it uses as much as digits as its factorization.

127987600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The spelling of 127987600000 in words is "one hundred twenty-seven billion, nine hundred eighty-seven million, six hundred thousand".