127612609920 has 320 divisors, whose sum is σ = 457063754400. Its totient is φ = 33930289152.

The previous prime is 127612609903. The next prime is 127612609931. The reversal of 127612609920 is 29906216721.

127612609920 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 12 + 609 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18607132 + ... + 18613988.

Almost surely, 2^127612609920 is an apocalyptic number.

127612609920 is a gapful number since it is divisible by the number (10) 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 127612609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228531877200).

127612609920 is an abundant number, since it is smaller than the sum of its proper divisors (329451144480).

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

127612609920 is an equidigital number, since it uses as much as digits as its factorization.

127612609920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7247 (or 7226 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 127612609920 in words is "one hundred twenty-seven billion, six hundred twelve million, six hundred nine thousand, nine hundred twenty".