10085442013600 has 72 divisors (see below), whose sum is σ = 24635495375820. Its totient is φ = 4031815710720.

The previous prime is 10085442013547. The next prime is 10085442013627. The reversal of 10085442013600 is 631024458001.

It can be written as a sum of positive squares in 6 ways, for example, as 1244643684496 + 8840798329104 = 1115636^2 + 2973348^2 .

It is a super-2 number, since 2×10085442013600² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2321157 + ... + 5055556.

Almost surely, 2^{10085442013600} is an apocalyptic number.

10085442013600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10085442013600 is an abundant number, since it is smaller than the sum of its proper divisors (14550053362220).

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

10085442013600 is a wasteful number, since it uses less digits than its factorization.

10085442013600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7378442 (or 7378429 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 10085442013600 in words is "ten trillion, eighty-five billion, four hundred forty-two million, thirteen thousand, six hundred".