126155380055040 has 1320 divisors, whose sum is σ = 556812284790960. Its totient is φ = 27139234332672.

The previous prime is 126155380055039. The next prime is 126155380055041. The reversal of 126155380055040 is 40550083551621.

126155380055040 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 5 + 53 + 8 + 0 + 0 + 550 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (126155380055039) and next prime (126155380055041).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126155380055041) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 345279171 + ... + 345644349.

It is an arithmetic number, because the mean of its divisors is an integer number (421827488478).

Almost surely, 2^{126155380055040} is an apocalyptic number.

126155380055040 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 126155380055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278406142395480).

126155380055040 is an abundant number, since it is smaller than the sum of its proper divisors (430656904735920).

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

126155380055040 is a wasteful number, since it uses less digits than its factorization.

126155380055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365247 (or 365213 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 126155380055040 in words is "one hundred twenty-six trillion, one hundred fifty-five billion, three hundred eighty million, fifty-five thousand, forty".