127747853460000 has 1920 divisors, whose sum is σ = 483963856992000. Its totient is φ = 32758235136000.

The previous prime is 127747853459987. The next prime is 127747853460001. The reversal of 127747853460000 is 64358747721.

127747853460000 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 47 + 8 + 534 + 60 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (127747853460001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 312341939796 + ... + 312341940204.

It is an arithmetic number, because the mean of its divisors is an integer number (252064508850).

Almost surely, 2^{127747853460000} is an apocalyptic number.

127747853460000 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 127747853460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241981928496000).

127747853460000 is an abundant number, since it is smaller than the sum of its proper divisors (356216003532000).

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

127747853460000 is an equidigital number, since it uses as much as digits as its factorization.

127747853460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 127747853460000 in words is "one hundred twenty-seven trillion, seven hundred forty-seven billion, eight hundred fifty-three million, four hundred sixty thousand".