127987308400 has 240 divisors, whose sum is σ = 377195482944. Its totient is φ = 40733245440.

The previous prime is 127987308353. The next prime is 127987308403. The reversal of 127987308400 is 4803789721.

It is a super-2 number, since 2×127987308400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127987308403) 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, 3456384 + ... + 3493216.

Almost surely, 2^127987308400 is an apocalyptic number.

127987308400 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 127987308400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188597741472).

127987308400 is an abundant number, since it is smaller than the sum of its proper divisors (249208174544).

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

127987308400 is a wasteful number, since it uses less digits than its factorization.

127987308400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36948 (or 36937 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

The spelling of 127987308400 in words is "one hundred twenty-seven billion, nine hundred eighty-seven million, three hundred eight thousand, four hundred".