127971477900 has 432 divisors, whose sum is σ = 486493862400. Its totient is φ = 27502801920.

The previous prime is 127971477817. The next prime is 127971477913. The reversal of 127971477900 is 9774179721.

127971477900 is a `hidden beast` number, since 12 + 7 + 9 + 71 + 477 + 90 + 0 = 666.

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, 8541616 + ... + 8556584.

It is an arithmetic number, because the mean of its divisors is an integer number (1126143200).

Almost surely, 2^127971477900 is an apocalyptic number.

127971477900 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 127971477900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243246931200).

127971477900 is an abundant number, since it is smaller than the sum of its proper divisors (358522384500).

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

127971477900 is a wasteful number, since it uses less digits than its factorization.

127971477900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15078 (or 15068 counting only the distinct ones).

The product of its (nonzero) digits is 1555848, while the sum is 54.

The spelling of 127971477900 in words is "one hundred twenty-seven billion, nine hundred seventy-one million, four hundred seventy-seven thousand, nine hundred".