10893168230400 has 945 divisors, whose sum is σ = 40715987783653. Its totient is φ = 2889636249600.

The previous prime is 10893168230381. The next prime is 10893168230419. The reversal of 10893168230400 is 403286139801.

The square root of 10893168230400 is 3300480.

It is a perfect power (a square), and thus also a powerful number.

10893168230400 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 3 + 1 + 6 + 8 + 230 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (10893168230381) and next prime (10893168230419).

It can be written as a sum of positive squares in only one way, i.e., 3921540562944 + 6971627667456 = 1980288^2 + 2640384^2 .

It is a super-2 number, since 2×10893168230400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 57032294305 + ... + 57032294495.

Almost surely, 2^{10893168230400} is an apocalyptic number.

10893168230400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10893168230400 is the 3300480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10893168230400

10893168230400 is an abundant number, since it is smaller than the sum of its proper divisors (29822819553253).

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

10893168230400 is an frugal number, since it uses more digits than its factorization.

10893168230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 10893168230400 in words is "ten trillion, eight hundred ninety-three billion, one hundred sixty-eight million, two hundred thirty thousand, four hundred".