127494064071000 has 1920 divisors, whose sum is σ = 513290833735680. Its totient is φ = 29440635840000.

The previous prime is 127494064070993. The next prime is 127494064071029. The reversal of 127494064071000 is 170460494721.

127494064071000 is a `hidden beast` number, since 12 + 7 + 494 + 0 + 6 + 40 + 7 + 100 + 0 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 61089631957 + ... + 61089634043.

It is an arithmetic number, because the mean of its divisors is an integer number (267338975904).

Almost surely, 2^{127494064071000} is an apocalyptic number.

127494064071000 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 127494064071000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256645416867840).

127494064071000 is an abundant number, since it is smaller than the sum of its proper divisors (385796769664680).

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

127494064071000 is a wasteful number, since it uses less digits than its factorization.

127494064071000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 127494064071000 in words is "one hundred twenty-seven trillion, four hundred ninety-four billion, sixty-four million, seventy-one thousand".