127492500096 has 512 divisors, whose sum is σ = 429051168000. Its totient is φ = 36946575360.

The previous prime is 127492500073. The next prime is 127492500181. The reversal of 127492500096 is 690005294721.

127492500096 is a `hidden beast` number, since 1 + 27 + 492 + 50 + 0 + 0 + 96 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 198895936 + ... + 198896576.

Almost surely, 2^127492500096 is an apocalyptic number.

127492500096 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 127492500096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214525584000).

127492500096 is an abundant number, since it is smaller than the sum of its proper divisors (301558667904).

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

127492500096 is a wasteful number, since it uses less digits than its factorization.

127492500096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 127492500096 in words is "one hundred twenty-seven billion, four hundred ninety-two million, five hundred thousand, ninety-six".