126621586949760 has 2304 divisors, whose sum is σ = 550437843271680. Its totient is φ = 26212013752320.

The previous prime is 126621586949749. The next prime is 126621586949773. The reversal of 126621586949760 is 67949685126621.

126621586949760 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 2 + 15 + 8 + 69 + 497 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 41886067609 + ... + 41886070631.

It is an arithmetic number, because the mean of its divisors is an integer number (238905313920).

Almost surely, 2^{126621586949760} is an apocalyptic number.

126621586949760 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 126621586949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275218921635840).

126621586949760 is an abundant number, since it is smaller than the sum of its proper divisors (423816256321920).

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

126621586949760 is a wasteful number, since it uses less digits than its factorization.

126621586949760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3187 (or 3141 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 126621586949760 in words is "one hundred twenty-six trillion, six hundred twenty-one billion, five hundred eighty-six million, nine hundred forty-nine thousand, seven hundred sixty".