10072481540 has 96 divisors (see below), whose sum is σ = 24318040320. Its totient is φ = 3468608000.

The previous prime is 10072481539. The next prime is 10072481557. The reversal of 10072481540 is 4518427001.

It is a happy number.

10072481540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10072481497 and 10072481506.

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 31 ways as a sum of consecutive naturals, for example, 501206 + ... + 520914.

It is an arithmetic number, because the mean of its divisors is an integer number (253312920).

Almost surely, 2^10072481540 is an apocalyptic number.

10072481540 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 10072481540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12159020160).

10072481540 is an abundant number, since it is smaller than the sum of its proper divisors (14245558780).

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

10072481540 is a wasteful number, since it uses less digits than its factorization.

10072481540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19853 (or 19851 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The spelling of 10072481540 in words is "ten billion, seventy-two million, four hundred eighty-one thousand, five hundred forty".