127315260372300 has 1152 divisors, whose sum is σ = 503822601289728. Its totient is φ = 23967304704000.

The previous prime is 127315260372277. The next prime is 127315260372319. The reversal of 127315260372300 is 3273062513721.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4754636512 + ... + 4754663288.

It is an arithmetic number, because the mean of its divisors is an integer number (437346008064).

Almost surely, 2^{127315260372300} is an apocalyptic number.

127315260372300 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 127315260372300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251911300644864).

127315260372300 is an abundant number, since it is smaller than the sum of its proper divisors (376507340917428).

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

127315260372300 is a wasteful number, since it uses less digits than its factorization.

127315260372300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27119 (or 27112 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

The spelling of 127315260372300 in words is "one hundred twenty-seven trillion, three hundred fifteen billion, two hundred sixty million, three hundred seventy-two thousand, three hundred".