126526005540 has 144 divisors (see below), whose sum is σ = 419312589696. Its totient is φ = 30627072000.

The previous prime is 126526005521. The next prime is 126526005577. The reversal of 126526005540 is 45500625621.

126526005540 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 2 + 600 + 5 + 5 + 40 = 666.

It is a super-2 number, since 2×126526005540² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 126526005495 and 126526005504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1285065 + ... + 1380015.

It is an arithmetic number, because the mean of its divisors is an integer number (2911892984).

Almost surely, 2^126526005540 is an apocalyptic number.

126526005540 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 126526005540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209656294848).

126526005540 is an abundant number, since it is smaller than the sum of its proper divisors (292786584156).

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

126526005540 is a wasteful number, since it uses less digits than its factorization.

126526005540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95650 (or 95645 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 126526005540 in words is "one hundred twenty-six billion, five hundred twenty-six million, five thousand, five hundred forty".