126617774400 has 1512 divisors, whose sum is σ = 528698911104. Its totient is φ = 29760307200.

The previous prime is 126617774369. The next prime is 126617774401. The reversal of 126617774400 is 4477716621.

126617774400 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 177 + 74 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126617774401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2693995177 + ... + 2693995223.

It is an arithmetic number, because the mean of its divisors is an integer number (349668592).

Almost surely, 2^126617774400 is an apocalyptic number.

126617774400 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 126617774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264349455552).

126617774400 is an abundant number, since it is smaller than the sum of its proper divisors (402081136704).

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

126617774400 is a wasteful number, since it uses less digits than its factorization.

126617774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 126617774400 in words is "one hundred twenty-six billion, six hundred seventeen million, seven hundred seventy-four thousand, four hundred".