127697472000 has 2240 divisors, whose sum is σ = 602828987904. Its totient is φ = 26276659200.

The previous prime is 127697471971. The next prime is 127697472037. The reversal of 127697472000 is 274796721.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 5552063989 + ... + 5552064011.

Almost surely, 2^127697472000 is an apocalyptic number.

127697472000 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 127697472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301414493952).

127697472000 is an abundant number, since it is smaller than the sum of its proper divisors (475131515904).

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

127697472000 is an frugal number, since it uses more digits than its factorization.

127697472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 127697472000 in words is "one hundred twenty-seven billion, six hundred ninety-seven million, four hundred seventy-two thousand".