126832780800 has 1080 divisors, whose sum is σ = 518927937528. Its totient is φ = 30656102400.

The previous prime is 126832780783. The next prime is 126832780801. The reversal of 126832780800 is 8087238621.

It is a tau number, because it is divible by the number of its divisors (1080).

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 (126832780801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 376358232 + ... + 376358568.

Almost surely, 2^126832780800 is an apocalyptic number.

126832780800 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 126832780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259463968764).

126832780800 is an abundant number, since it is smaller than the sum of its proper divisors (392095156728).

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

126832780800 is an equidigital number, since it uses as much as digits as its factorization.

126832780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 126832780800 in words is "one hundred twenty-six billion, eight hundred thirty-two million, seven hundred eighty thousand, eight hundred".