127098413952 has 128 divisors (see below), whose sum is σ = 358826208000. Its totient is φ = 39746433024.

The previous prime is 127098413917. The next prime is 127098413969. The reversal of 127098413952 is 259314890721.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×127098413952³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 127098413895 and 127098413904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 666924 + ... + 836052.

It is an arithmetic number, because the mean of its divisors is an integer number (2803329750).

Almost surely, 2^127098413952 is an apocalyptic number.

127098413952 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 127098413952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179413104000).

127098413952 is an abundant number, since it is smaller than the sum of its proper divisors (231727794048).

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

127098413952 is a wasteful number, since it uses less digits than its factorization.

127098413952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169268 (or 169256 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 127098413952 in words is "one hundred twenty-seven billion, ninety-eight million, four hundred thirteen thousand, nine hundred fifty-two".