126416509760 has 56 divisors (see below), whose sum is σ = 318736934280. Its totient is φ = 47592095744.

The previous prime is 126416509759. The next prime is 126416509763. The reversal of 126416509760 is 67905614621.

It can be written as a sum of positive squares in 4 ways, for example, as 70875218176 + 55541291584 = 266224^2 + 235672^2 .

It is a super-2 number, since 2×126416509760² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126416509763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11613725 + ... + 11624604.

Almost surely, 2^126416509760 is an apocalyptic number.

126416509760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126416509760 is an abundant number, since it is smaller than the sum of its proper divisors (192320424520).

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

126416509760 is a wasteful number, since it uses less digits than its factorization.

126416509760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23238363 (or 23238353 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 47.

The spelling of 126416509760 in words is "one hundred twenty-six billion, four hundred sixteen million, five hundred nine thousand, seven hundred sixty".