126491976000 has 896 divisors, whose sum is σ = 505652958720. Its totient is φ = 30772224000.

The previous prime is 126491975977. The next prime is 126491976029. The reversal of 126491976000 is 679194621.

126491976000 is a `hidden beast` number, since 1 + 26 + 4 + 9 + 19 + 7 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 300455790 + ... + 300456210.

It is an arithmetic number, because the mean of its divisors is an integer number (564344820).

Almost surely, 2^126491976000 is an apocalyptic number.

126491976000 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 126491976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252826479360).

126491976000 is an abundant number, since it is smaller than the sum of its proper divisors (379160982720).

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

126491976000 is a wasteful number, since it uses less digits than its factorization.

126491976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 126491976000 in words is "one hundred twenty-six billion, four hundred ninety-one million, nine hundred seventy-six thousand".