127198023226560 has 1120 divisors, whose sum is σ = 533533868550144. Its totient is φ = 28358636544000.

The previous prime is 127198023226493. The next prime is 127198023226607. The reversal of 127198023226560 is 65622320891721.

127198023226560 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 98 + 0 + 232 + 265 + 60 = 666.

It is a super-2 number, since 2×127198023226560² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 127198023226497 and 127198023226506.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1004414445 + ... + 1004541075.

Almost surely, 2^{127198023226560} is an apocalyptic number.

127198023226560 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 127198023226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266766934275072).

127198023226560 is an abundant number, since it is smaller than the sum of its proper divisors (406335845323584).

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

127198023226560 is a wasteful number, since it uses less digits than its factorization.

127198023226560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126955 (or 126936 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 127198023226560 in words is "one hundred twenty-seven trillion, one hundred ninety-eight billion, twenty-three million, two hundred twenty-six thousand, five hundred sixty".