126085826880 has 448 divisors, whose sum is σ = 481510848000. Its totient is φ = 30875074560.

The previous prime is 126085826863. The next prime is 126085826897. The reversal of 126085826880 is 88628580621.

It is a happy number.

126085826880 is a `hidden beast` number, since 1 + 2 + 608 + 5 + 8 + 26 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (126085826863) and next prime (126085826897).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22348860 + ... + 22354500.

It is an arithmetic number, because the mean of its divisors is an integer number (1074801000).

Almost surely, 2^126085826880 is an apocalyptic number.

126085826880 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 126085826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240755424000).

126085826880 is an abundant number, since it is smaller than the sum of its proper divisors (355425021120).

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

126085826880 is a wasteful number, since it uses less digits than its factorization.

126085826880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5879 (or 5863 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 126085826880 in words is "one hundred twenty-six billion, eighty-five million, eight hundred twenty-six thousand, eight hundred eighty".