127234760086980 has 1536 divisors, whose sum is σ = 507780991549440. Its totient is φ = 25728544512000.

The previous prime is 127234760086979. The next prime is 127234760086999. The reversal of 127234760086980 is 89680067432721.

127234760086980 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 3 + 476 + 0 + 0 + 86 + 9 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 84205664425 + ... + 84205665935.

It is an arithmetic number, because the mean of its divisors is an integer number (330586583040).

Almost surely, 2^{127234760086980} is an apocalyptic number.

127234760086980 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 127234760086980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253890495774720).

127234760086980 is an abundant number, since it is smaller than the sum of its proper divisors (380546231462460).

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

127234760086980 is a wasteful number, since it uses less digits than its factorization.

127234760086980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 127234760086980 in words is "one hundred twenty-seven trillion, two hundred thirty-four billion, seven hundred sixty million, eighty-six thousand, nine hundred eighty".