126427588560 has 480 divisors, whose sum is σ = 538922292480. Its totient is φ = 26674292736.

The previous prime is 126427588549. The next prime is 126427588589. The reversal of 126427588560 is 65885724621.

126427588560 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 2 + 7 + 588 + 56 + 0 = 666.

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 = 126427588497 and 126427588506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2530542 + ... + 2580018.

It is an arithmetic number, because the mean of its divisors is an integer number (1122754776).

Almost surely, 2^126427588560 is an apocalyptic number.

126427588560 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 126427588560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269461146240).

126427588560 is an abundant number, since it is smaller than the sum of its proper divisors (412494703920).

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

126427588560 is a wasteful number, since it uses less digits than its factorization.

126427588560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49532 (or 49507 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 126427588560 in words is "one hundred twenty-six billion, four hundred twenty-seven million, five hundred eighty-eight thousand, five hundred sixty".