10081464120 has 640 divisors, whose sum is σ = 43088855040. Its totient is φ = 2056596480.

The previous prime is 10081464077. The next prime is 10081464143. The reversal of 10081464120 is 2146418001.

It is a happy number.

10081464120 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 14 + 641 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9139489 + ... + 9140591.

It is an arithmetic number, because the mean of its divisors is an integer number (67326336).

Almost surely, 2^10081464120 is an apocalyptic number.

10081464120 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 10081464120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21544427520).

10081464120 is an abundant number, since it is smaller than the sum of its proper divisors (33007390920).

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

10081464120 is a wasteful number, since it uses less digits than its factorization.

10081464120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 10081464120 in words is "ten billion, eighty-one million, four hundred sixty-four thousand, one hundred twenty".