127088790400 has 864 divisors, whose sum is σ = 404854322040. Its totient is φ = 38854656000.

The previous prime is 127088790377. The next prime is 127088790443. The reversal of 127088790400 is 4097880721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4099638385 + ... + 4099638415.

Almost surely, 2^127088790400 is an apocalyptic number.

127088790400 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 127088790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202427161020).

127088790400 is an abundant number, since it is smaller than the sum of its proper divisors (277765531640).

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

127088790400 is a wasteful number, since it uses less digits than its factorization.

127088790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 46.

The spelling of 127088790400 in words is "one hundred twenty-seven billion, eighty-eight million, seven hundred ninety thousand, four hundred".