126639279360 has 1152 divisors, whose sum is σ = 513887109120. Its totient is φ = 29262643200.

The previous prime is 126639279343. The next prime is 126639279373. The reversal of 126639279360 is 63972936621.

126639279360 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 3 + 9 + 279 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 126639279297 and 126639279306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 997159617 + ... + 997159743.

It is an arithmetic number, because the mean of its divisors is an integer number (446082560).

Almost surely, 2^126639279360 is an apocalyptic number.

126639279360 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 126639279360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256943554560).

126639279360 is an abundant number, since it is smaller than the sum of its proper divisors (387247829760).

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

126639279360 is a wasteful number, since it uses less digits than its factorization.

126639279360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 126639279360 in words is "one hundred twenty-six billion, six hundred thirty-nine million, two hundred seventy-nine thousand, three hundred sixty".