127766822400 has 1440 divisors, whose sum is σ = 569920665600. Its totient is φ = 26674790400.

The previous prime is 127766822341. The next prime is 127766822411. The reversal of 127766822400 is 4228667721.

It is a happy number.

127766822400 is a `hidden beast` number, since 1 + 277 + 66 + 82 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 474969466 + ... + 474969734.

It is an arithmetic number, because the mean of its divisors is an integer number (395778240).

Almost surely, 2^127766822400 is an apocalyptic number.

127766822400 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 127766822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284960332800).

127766822400 is an abundant number, since it is smaller than the sum of its proper divisors (442153843200).

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

127766822400 is a wasteful number, since it uses less digits than its factorization.

127766822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 127766822400 in words is "one hundred twenty-seven billion, seven hundred sixty-six million, eight hundred twenty-two thousand, four hundred".