10903086540 has 192 divisors, whose sum is σ = 36578304000. Its totient is φ = 2687178240.

The previous prime is 10903086449. The next prime is 10903086547. The reversal of 10903086540 is 4568030901.

10903086540 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 30 + 86 + 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 = 10903086495 and 10903086504.

It is not an unprimeable number, because it can be changed into a prime (10903086547) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 407701 + ... + 433619.

It is an arithmetic number, because the mean of its divisors is an integer number (190512000).

Almost surely, 2^10903086540 is an apocalyptic number.

10903086540 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 10903086540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18289152000).

10903086540 is an abundant number, since it is smaller than the sum of its proper divisors (25675217460).

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

10903086540 is a wasteful number, since it uses less digits than its factorization.

10903086540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25997 (or 25989 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10903086540 in words is "ten billion, nine hundred three million, eighty-six thousand, five hundred forty".