126740625229680 has 1280 divisors, whose sum is σ = 506987436441600. Its totient is φ = 25431208427520.

The previous prime is 126740625229657. The next prime is 126740625229681. The reversal of 126740625229680 is 86922526047621.

It is a super-2 number, since 2×126740625229680² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126740625229681) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 22475724301 + ... + 22475729939.

It is an arithmetic number, because the mean of its divisors is an integer number (396083934720).

Almost surely, 2^{126740625229680} is an apocalyptic number.

126740625229680 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 126740625229680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253493718220800).

126740625229680 is an abundant number, since it is smaller than the sum of its proper divisors (380246811211920).

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

126740625229680 is a wasteful number, since it uses less digits than its factorization.

126740625229680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6062 (or 6056 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 126740625229680 in words is "one hundred twenty-six trillion, seven hundred forty billion, six hundred twenty-five million, two hundred twenty-nine thousand, six hundred eighty".