127504380603600 has 8640 divisors, whose sum is σ = 663733031700480. Its totient is φ = 23279477760000.

The previous prime is 127504380603577. The next prime is 127504380603601. The reversal of 127504380603600 is 6306083405721.

127504380603600 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 0 + 4 + 38 + 0 + 6 + 0 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127504380603601) by changing a digit.

It is a polite number, since it can be written in 1727 ways as a sum of consecutive naturals, for example, 2090235747570 + ... + 2090235747630.

Almost surely, 2^{127504380603600} is an apocalyptic number.

127504380603600 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 127504380603600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331866515850240).

127504380603600 is an abundant number, since it is smaller than the sum of its proper divisors (536228651096880).

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

127504380603600 is a wasteful number, since it uses less digits than its factorization.

127504380603600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 127504380603600 in words is "one hundred twenty-seven trillion, five hundred four billion, three hundred eighty million, six hundred three thousand, six hundred".