10167074400800 has 72 divisors (see below), whose sum is σ = 24846416704116. Its totient is φ = 4062562058240.

The previous prime is 10167074400797. The next prime is 10167074400809. The reversal of 10167074400800 is 800447076101.

10167074400800 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 6 ways, for example, as 1709284300816 + 8457790099984 = 1307396^2 + 2908228^2 .

It is not an unprimeable number, because it can be changed into a prime (10167074400809) 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, 5905409 + ... + 7430208.

Almost surely, 2^{10167074400800} is an apocalyptic number.

10167074400800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10167074400800 is an abundant number, since it is smaller than the sum of its proper divisors (14679342303316).

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

10167074400800 is a wasteful number, since it uses less digits than its factorization.

10167074400800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13336590 (or 13336577 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The spelling of 10167074400800 in words is "ten trillion, one hundred sixty-seven billion, seventy-four million, four hundred thousand, eight hundred".