127491629952960 has 1680 divisors, whose sum is σ = 570176179594560. Its totient is φ = 26802630328320.

The previous prime is 127491629952949. The next prime is 127491629952961. The reversal of 127491629952960 is 69259926194721.

127491629952960 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 9 + 1 + 6 + 2 + 99 + 529 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127491629952961) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4639588501 + ... + 4639615979.

It is an arithmetic number, because the mean of its divisors is an integer number (339390583092).

Almost surely, 2^{127491629952960} is an apocalyptic number.

127491629952960 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 127491629952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285088089797280).

127491629952960 is an abundant number, since it is smaller than the sum of its proper divisors (442684549641600).

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

127491629952960 is a wasteful number, since it uses less digits than its factorization.

127491629952960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27816 (or 27790 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 127491629952960 in words is "one hundred twenty-seven trillion, four hundred ninety-one billion, six hundred twenty-nine million, nine hundred fifty-two thousand, nine hundred sixty".