10126656540 has 1152 divisors, whose sum is σ = 44616499200. Its totient is φ = 1828915200.

The previous prime is 10126656521. The next prime is 10126656557. The reversal of 10126656540 is 4565662101.

10126656540 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 66 + 56 + 540 = 666.

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 = 10126656495 and 10126656504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 273693402 + ... + 273693438.

It is an arithmetic number, because the mean of its divisors is an integer number (38729600).

Almost surely, 2^10126656540 is an apocalyptic number.

10126656540 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 10126656540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22308249600).

10126656540 is an abundant number, since it is smaller than the sum of its proper divisors (34489842660).

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

10126656540 is a wasteful number, since it uses less digits than its factorization.

10126656540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

It can be divided in two parts, 10126 and 656540, that added together give a palindrome (666666).

The spelling of 10126656540 in words is "ten billion, one hundred twenty-six million, six hundred fifty-six thousand, five hundred forty".