127913385600 has 3840 divisors, whose sum is σ = 694193068800. Its totient is φ = 22295347200.

The previous prime is 127913385577. The next prime is 127913385631. The reversal of 127913385600 is 6583319721.

127913385600 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 1 + 3 + 38 + 5 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4410806386 + ... + 4410806414.

It is an arithmetic number, because the mean of its divisors is an integer number (180779445).

Almost surely, 2^127913385600 is an apocalyptic number.

127913385600 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 127913385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347096534400).

127913385600 is an abundant number, since it is smaller than the sum of its proper divisors (566279683200).

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

127913385600 is a wasteful number, since it uses less digits than its factorization.

127913385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 127913385600 in words is "one hundred twenty-seven billion, nine hundred thirteen million, three hundred eighty-five thousand, six hundred".