10126464480 has 480 divisors, whose sum is σ = 39280526208. Its totient is φ = 2436480000.

The previous prime is 10126464437. The next prime is 10126464497. The reversal of 10126464480 is 8446462101.

It is a happy number.

10126464480 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 6 + 4 + 644 + 8 + 0 = 666.

10126464480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×10126464480³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 35782419 + ... + 35782701.

Almost surely, 2^10126464480 is an apocalyptic number.

10126464480 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 10126464480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19640263104).

10126464480 is an abundant number, since it is smaller than the sum of its proper divisors (29154061728).

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

10126464480 is a wasteful number, since it uses less digits than its factorization.

10126464480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 10126464480 in words is "ten billion, one hundred twenty-six million, four hundred sixty-four thousand, four hundred eighty".