127625827392 has 224 divisors, whose sum is σ = 437921034240. Its totient is φ = 35688522240.

The previous prime is 127625827369. The next prime is 127625827397. The reversal of 127625827392 is 293728526721.

127625827392 is a `hidden beast` number, since 1 + 2 + 7 + 625 + 8 + 2 + 7 + 3 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (127625827397) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456267 + ... + 680757.

Almost surely, 2^127625827392 is an apocalyptic number.

127625827392 is a gapful number since it is divisible by the number (12) 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 127625827392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218960517120).

127625827392 is an abundant number, since it is smaller than the sum of its proper divisors (310295206848).

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

127625827392 is a wasteful number, since it uses less digits than its factorization.

127625827392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224566 (or 224550 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 127625827392 in words is "one hundred twenty-seven billion, six hundred twenty-five million, eight hundred twenty-seven thousand, three hundred ninety-two".