127899117158400 has 4320 divisors, whose sum is σ = 586769549845248. Its totient is φ = 26907299020800.

The previous prime is 127899117158261. The next prime is 127899117158459. The reversal of 127899117158400 is 4851711998721.

127899117158400 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 9 + 9 + 1 + 171 + 58 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1752042700764 + ... + 1752042700836.

Almost surely, 2^{127899117158400} is an apocalyptic number.

127899117158400 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 127899117158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293384774922624).

127899117158400 is an abundant number, since it is smaller than the sum of its proper divisors (458870432686848).

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

127899117158400 is an frugal number, since it uses more digits than its factorization.

127899117158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 63.

The spelling of 127899117158400 in words is "one hundred twenty-seven trillion, eight hundred ninety-nine billion, one hundred seventeen million, one hundred fifty-eight thousand, four hundred".