126642579840 has 896 divisors, whose sum is σ = 549527872320. Its totient is φ = 27232174080.

The previous prime is 126642579827. The next prime is 126642579859. The reversal of 126642579840 is 48975246621.

126642579840 is a `hidden beast` number, since 1 + 2 + 6 + 64 + 2 + 579 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 55519500 + ... + 55521780.

Almost surely, 2^126642579840 is an apocalyptic number.

126642579840 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 126642579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274763936160).

126642579840 is an abundant number, since it is smaller than the sum of its proper divisors (422885292480).

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

126642579840 is an equidigital number, since it uses as much as digits as its factorization.

126642579840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 126642579840 in words is "one hundred twenty-six billion, six hundred forty-two million, five hundred seventy-nine thousand, eight hundred forty".