127864396800 has 1320 divisors, whose sum is σ = 566105481216. Its totient is φ = 27882455040.

The previous prime is 127864396739. The next prime is 127864396837. The reversal of 127864396800 is 8693468721.

127864396800 is a `hidden beast` number, since 127 + 8 + 6 + 439 + 6 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 333849409 + ... + 333849791.

Almost surely, 2^127864396800 is an apocalyptic number.

127864396800 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 127864396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283052740608).

127864396800 is an abundant number, since it is smaller than the sum of its proper divisors (438241084416).

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

127864396800 is a wasteful number, since it uses less digits than its factorization.

127864396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 127864396800 in words is "one hundred twenty-seven billion, eight hundred sixty-four million, three hundred ninety-six thousand, eight hundred".