10842478600 has 48 divisors (see below), whose sum is σ = 25271814420. Its totient is φ = 4326144000.

The previous prime is 10842478597. The next prime is 10842478601. The reversal of 10842478600 is 687424801.

It can be written as a sum of positive squares in 6 ways, for example, as 8929116036 + 1913362564 = 94494^2 + 43742^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (10842478601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12604 + ... + 147796.

Almost surely, 2^10842478600 is an apocalyptic number.

10842478600 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 10842478600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12635907210).

10842478600 is an abundant number, since it is smaller than the sum of its proper divisors (14429335820).

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

10842478600 is a wasteful number, since it uses less digits than its factorization.

10842478600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135610 (or 135601 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The spelling of 10842478600 in words is "ten billion, eight hundred forty-two million, four hundred seventy-eight thousand, six hundred".