126578918700 has 864 divisors, whose sum is σ = 470951732160. Its totient is φ = 29262643200.

The previous prime is 126578918651. The next prime is 126578918747. The reversal of 126578918700 is 7819875621.

It is a super-2 number, since 2×126578918700² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 375604932 + ... + 375605268.

Almost surely, 2^126578918700 is an apocalyptic number.

126578918700 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 126578918700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235475866080).

126578918700 is an abundant number, since it is smaller than the sum of its proper divisors (344372813460).

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

126578918700 is a wasteful number, since it uses less digits than its factorization.

126578918700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 126578918700 in words is "one hundred twenty-six billion, five hundred seventy-eight million, nine hundred eighteen thousand, seven hundred".