127829318400 has 1296 divisors, whose sum is σ = 564010567680. Its totient is φ = 28217548800.

The previous prime is 127829318371. The next prime is 127829318401. The reversal of 127829318400 is 4813928721.

It is a happy number.

127829318400 is a `hidden beast` number, since 1 + 278 + 29 + 318 + 40 + 0 = 666.

127829318400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (127829318401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 262482957 + ... + 262483443.

Almost surely, 2^127829318400 is an apocalyptic number.

127829318400 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 127829318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282005283840).

127829318400 is an abundant number, since it is smaller than the sum of its proper divisors (436181249280).

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

127829318400 is a wasteful number, since it uses less digits than its factorization.

127829318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 127829318400 in words is "one hundred twenty-seven billion, eight hundred twenty-nine million, three hundred eighteen thousand, four hundred".