127537883616 has 288 divisors, whose sum is σ = 419615761824. Its totient is φ = 33575731200.

The previous prime is 127537883569. The next prime is 127537883621. The reversal of 127537883616 is 616388735721.

It is a super-2 number, since 2×127537883616² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2542296 + ... + 2591976.

It is an arithmetic number, because the mean of its divisors is an integer number (1456999173).

Almost surely, 2^127537883616 is an apocalyptic number.

127537883616 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 127537883616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209807880912).

127537883616 is an abundant number, since it is smaller than the sum of its proper divisors (292077878208).

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

127537883616 is a wasteful number, since it uses less digits than its factorization.

127537883616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49746 (or 49727 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 57.

The spelling of 127537883616 in words is "one hundred twenty-seven billion, five hundred thirty-seven million, eight hundred eighty-three thousand, six hundred sixteen".