126055819141560 has 1024 divisors, whose sum is σ = 532618600550400. Its totient is φ = 26080674140160.

The previous prime is 126055819141559. The next prime is 126055819141579. The reversal of 126055819141560 is 65141918550621.

126055819141560 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 5 + 5 + 81 + 91 + 415 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 126055819141497 and 126055819141506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1569438522 + ... + 1569518838.

It is an arithmetic number, because the mean of its divisors is an integer number (520135352100).

Almost surely, 2^{126055819141560} is an apocalyptic number.

126055819141560 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 126055819141560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266309300275200).

126055819141560 is an abundant number, since it is smaller than the sum of its proper divisors (406562781408840).

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

126055819141560 is a wasteful number, since it uses less digits than its factorization.

126055819141560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80600 (or 80578 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 126055819141560 in words is "one hundred twenty-six trillion, fifty-five billion, eight hundred nineteen million, one hundred forty-one thousand, five hundred sixty".