126424369890 has 320 divisors, whose sum is σ = 419999247360. Its totient is φ = 26571525120.

The previous prime is 126424369867. The next prime is 126424369913. The reversal of 126424369890 is 98963424621.

126424369890 is a `hidden beast` number, since 1 + 264 + 243 + 69 + 89 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (126424369867) and next prime (126424369913).

It is a super-2 number, since 2×126424369890² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19972246 + ... + 19978574.

It is an arithmetic number, because the mean of its divisors is an integer number (1312497648).

Almost surely, 2^126424369890 is an apocalyptic number.

126424369890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126424369890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209999623680).

126424369890 is an abundant number, since it is smaller than the sum of its proper divisors (293574877470).

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

126424369890 is a wasteful number, since it uses less digits than its factorization.

126424369890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6639 (or 6630 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 126424369890 in words is "one hundred twenty-six billion, four hundred twenty-four million, three hundred sixty-nine thousand, eight hundred ninety".