126035491680 has 576 divisors, whose sum is σ = 510629857920. Its totient is φ = 27707277312.

The previous prime is 126035491679. The next prime is 126035491691. The reversal of 126035491680 is 86194530621.

126035491680 is a `hidden beast` number, since 1 + 26 + 0 + 3 + 549 + 1 + 6 + 80 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33191542 + ... + 33195338.

It is an arithmetic number, because the mean of its divisors is an integer number (886510170).

Almost surely, 2^126035491680 is an apocalyptic number.

126035491680 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 126035491680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255314928960).

126035491680 is an abundant number, since it is smaller than the sum of its proper divisors (384594366240).

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

126035491680 is a wasteful number, since it uses less digits than its factorization.

126035491680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 126035491680 in words is "one hundred twenty-six billion, thirty-five million, four hundred ninety-one thousand, six hundred eighty".