10467540900 has 216 divisors, whose sum is σ = 36028006560. Its totient is φ = 2627043840.

The previous prime is 10467540893. The next prime is 10467540901. The reversal of 10467540900 is 904576401.

10467540900 is a `hidden beast` number, since 104 + 6 + 7 + 540 + 9 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10467540901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 400431 + ... + 425769.

Almost surely, 2^10467540900 is an apocalyptic number.

10467540900 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 10467540900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18014003280).

10467540900 is an abundant number, since it is smaller than the sum of its proper divisors (25560465660).

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

10467540900 is a wasteful number, since it uses less digits than its factorization.

10467540900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25385 (or 25366 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10467540900 in words is "ten billion, four hundred sixty-seven million, five hundred forty thousand, nine hundred".