127557061632 has 1056 divisors, whose sum is σ = 512267481600. Its totient is φ = 30510120960.

The previous prime is 127557061627. The next prime is 127557061633. The reversal of 127557061632 is 236160755721.

It is a happy number.

127557061632 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 5 + 7 + 0 + 6 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is not an unprimeable number, because it can be changed into a prime (127557061633) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 304431919 + ... + 304432337.

Almost surely, 2^127557061632 is an apocalyptic number.

127557061632 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 127557061632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256133740800).

127557061632 is an abundant number, since it is smaller than the sum of its proper divisors (384710419968).

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

127557061632 is a wasteful number, since it uses less digits than its factorization.

127557061632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 127557061632 in words is "one hundred twenty-seven billion, five hundred fifty-seven million, sixty-one thousand, six hundred thirty-two".