126027878400 has 624 divisors, whose sum is σ = 469652281600. Its totient is φ = 33124515840.

The previous prime is 126027878381. The next prime is 126027878429. The reversal of 126027878400 is 4878720621.

It is a super-2 number, since 2×126027878400² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218418912 + ... + 218419488.

Almost surely, 2^126027878400 is an apocalyptic number.

126027878400 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 126027878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234826140800).

126027878400 is an abundant number, since it is smaller than the sum of its proper divisors (343624403200).

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

126027878400 is an equidigital number, since it uses as much as digits as its factorization.

126027878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 126027878400 in words is "one hundred twenty-six billion, twenty-seven million, eight hundred seventy-eight thousand, four hundred".