10492679140 has 24 divisors (see below), whose sum is σ = 23330781432. Its totient is φ = 3950184960.

The previous prime is 10492679137. The next prime is 10492679159. The reversal of 10492679140 is 4197629401.

10492679140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2003636644 + 8489042496 = 44762^2 + 92136^2 .

It is a super-2 number, since 2×10492679140² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 15430071 + ... + 15430750.

It is an arithmetic number, because the mean of its divisors is an integer number (972115893).

Almost surely, 2^10492679140 is an apocalyptic number.

10492679140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10492679140 is an abundant number, since it is smaller than the sum of its proper divisors (12838102292).

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

10492679140 is a wasteful number, since it uses less digits than its factorization.

10492679140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30860847 (or 30860845 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 10492679140 in words is "ten billion, four hundred ninety-two million, six hundred seventy-nine thousand, one hundred forty".