20126024089600 has 540 divisors, whose sum is σ = 59082827666212. Its totient is φ = 6755372236800.

The previous prime is 20126024089537. The next prime is 20126024089627. The reversal of 20126024089600 is 698042062102.

It can be written as a sum of positive squares in 6 ways, for example, as 292326211584 + 19833697878016 = 540672^2 + 4453504^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 644285182 + ... + 644316418.

Almost surely, 2^{20126024089600} is an apocalyptic number.

20126024089600 is a gapful number since it is divisible by the number (20) 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 20126024089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29541413833106).

20126024089600 is an abundant number, since it is smaller than the sum of its proper divisors (38956803576612).

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

20126024089600 is a wasteful number, since it uses less digits than its factorization.

20126024089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31310 (or 31268 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 20126024089600 in words is "twenty trillion, one hundred twenty-six billion, twenty-four million, eighty-nine thousand, six hundred".