126090783000 has 2048 divisors, whose sum is σ = 589575168000. Its totient is φ = 24186470400.

The previous prime is 126090782969. The next prime is 126090783053. The reversal of 126090783000 is 387090621.

126090783000 is a `hidden beast` number, since 1 + 260 + 90 + 7 + 8 + 300 + 0 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1727270964 + ... + 1727271036.

It is an arithmetic number, because the mean of its divisors is an integer number (287878500).

Almost surely, 2^126090783000 is an apocalyptic number.

126090783000 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 126090783000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294787584000).

126090783000 is an abundant number, since it is smaller than the sum of its proper divisors (463484385000).

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

126090783000 is a wasteful number, since it uses less digits than its factorization.

126090783000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 126090783000 in words is "one hundred twenty-six billion, ninety million, seven hundred eighty-three thousand".