127835518082700 has 144 divisors (see below), whose sum is σ = 370356988135680. Its totient is φ = 34044668448000.

The previous prime is 127835518082449. The next prime is 127835518082737. The reversal of 127835518082700 is 7280815538721.

It is a super-3 number, since 3×127835518082700³ (a number of 43 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2431647415 + ... + 2431699985.

It is an arithmetic number, because the mean of its divisors is an integer number (2571923528720).

Almost surely, 2^{127835518082700} is an apocalyptic number.

127835518082700 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 127835518082700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185178494067840).

127835518082700 is an abundant number, since it is smaller than the sum of its proper divisors (242521470052980).

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

127835518082700 is a wasteful number, since it uses less digits than its factorization.

127835518082700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63088 (or 63081 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 57.

The spelling of 127835518082700 in words is "one hundred twenty-seven trillion, eight hundred thirty-five billion, five hundred eighteen million, eighty-two thousand, seven hundred".