126623502720 has 2560 divisors, whose sum is σ = 597155328000. Its totient is φ = 25082265600.

The previous prime is 126623502683. The next prime is 126623502721. The reversal of 126623502720 is 27205326621.

126623502720 is a `hidden beast` number, since 1 + 2 + 6 + 623 + 5 + 0 + 2 + 7 + 20 = 666.

It is a super-2 number, since 2×126623502720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126623502721) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4084629105 + ... + 4084629135.

It is an arithmetic number, because the mean of its divisors is an integer number (233263800).

Almost surely, 2^126623502720 is an apocalyptic number.

126623502720 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 126623502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298577664000).

126623502720 is an abundant number, since it is smaller than the sum of its proper divisors (470531825280).

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

126623502720 is a wasteful number, since it uses less digits than its factorization.

126623502720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 126623502720 in words is "one hundred twenty-six billion, six hundred twenty-three million, five hundred two thousand, seven hundred twenty".