10578085940 has 96 divisors (see below), whose sum is σ = 23612117760. Its totient is φ = 3972519936.

The previous prime is 10578085919. The next prime is 10578085961. The reversal of 10578085940 is 4958087501.

It is an interprime number because it is at equal distance from previous prime (10578085919) and next prime (10578085961).

It is a super-2 number, since 2×10578085940² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5664887 + ... + 5666753.

It is an arithmetic number, because the mean of its divisors is an integer number (245959560).

Almost surely, 2^10578085940 is an apocalyptic number.

10578085940 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 10578085940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11806058880).

10578085940 is an abundant number, since it is smaller than the sum of its proper divisors (13034031820).

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

10578085940 is a wasteful number, since it uses less digits than its factorization.

10578085940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 47.

The spelling of 10578085940 in words is "ten billion, five hundred seventy-eight million, eighty-five thousand, nine hundred forty".