126395047526400 has 540 divisors, whose sum is σ = 454568488114104. Its totient is φ = 33570816000000.

The previous prime is 126395047526359. The next prime is 126395047526477. The reversal of 126395047526400 is 4625740593621.

It is a happy number.

126395047526400 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 9 + 504 + 75 + 2 + 64 + 0 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 925218100 + ... + 925354700.

Almost surely, 2^{126395047526400} is an apocalyptic number.

126395047526400 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 126395047526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227284244057052).

126395047526400 is an abundant number, since it is smaller than the sum of its proper divisors (328173440587704).

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

126395047526400 is a wasteful number, since it uses less digits than its factorization.

126395047526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136896 (or 136862 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 126395047526400 in words is "one hundred twenty-six trillion, three hundred ninety-five billion, forty-seven million, five hundred twenty-six thousand, four hundred".