127047629280 has 576 divisors, whose sum is σ = 476058788352. Its totient is φ = 28231557120.

The previous prime is 127047629279. The next prime is 127047629299. The reversal of 127047629280 is 82926740721.

It is a super-2 number, since 2×127047629280² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 154370949 + ... + 154371771.

It is an arithmetic number, because the mean of its divisors is an integer number (826490952).

Almost surely, 2^127047629280 is an apocalyptic number.

127047629280 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 127047629280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238029394176).

127047629280 is an abundant number, since it is smaller than the sum of its proper divisors (349011159072).

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

127047629280 is a wasteful number, since it uses less digits than its factorization.

127047629280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 127047629280 in words is "one hundred twenty-seven billion, forty-seven million, six hundred twenty-nine thousand, two hundred eighty".