127953332016 has 160 divisors (see below), whose sum is σ = 341251033536. Its totient is φ = 41287680000.

The previous prime is 127953331963. The next prime is 127953332029. The reversal of 127953332016 is 610233359721.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221755920 + ... + 221756496.

Almost surely, 2^127953332016 is an apocalyptic number.

127953332016 is a gapful number since it is divisible by the number (16) 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 127953332016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170625516768).

127953332016 is an abundant number, since it is smaller than the sum of its proper divisors (213297701520).

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

127953332016 is a wasteful number, since it uses less digits than its factorization.

127953332016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The spelling of 127953332016 in words is "one hundred twenty-seven billion, nine hundred fifty-three million, three hundred thirty-two thousand, sixteen".