126385961131584 has 896 divisors, whose sum is σ = 497565273600000. Its totient is φ = 31099727554560.

The previous prime is 126385961131579. The next prime is 126385961131589. The reversal of 126385961131584 is 485131169583621.

126385961131584 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 8 + 5 + 9 + 6 + 11 + 31 + 584 = 666.

It is an interprime number because it is at equal distance from previous prime (126385961131579) and next prime (126385961131589).

It is a super-2 number, since 2×126385961131584² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (126385961131589) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 123365002 + ... + 124385270.

Almost surely, 2^{126385961131584} is an apocalyptic number.

126385961131584 is a gapful number since it is divisible by the number (14) 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 126385961131584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248782636800000).

126385961131584 is an abundant number, since it is smaller than the sum of its proper divisors (371179312468416).

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

126385961131584 is a wasteful number, since it uses less digits than its factorization.

126385961131584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020341 (or 1020311 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 63.

The spelling of 126385961131584 in words is "one hundred twenty-six trillion, three hundred eighty-five billion, nine hundred sixty-one million, one hundred thirty-one thousand, five hundred eighty-four".