10575486230400 has 2880 divisors, whose sum is σ = 49308597954000. Its totient is φ = 2225424015360.

The previous prime is 10575486230383. The next prime is 10575486230443. The reversal of 10575486230400 is 403268457501.

10575486230400 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 5 + 4 + 8 + 6 + 230 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×10575486230400² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 27903657411 + ... + 27903657789.

Almost surely, 2^{10575486230400} is an apocalyptic number.

10575486230400 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 10575486230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24654298977000).

10575486230400 is an abundant number, since it is smaller than the sum of its proper divisors (38733111723600).

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

10575486230400 is an equidigital number, since it uses as much as digits as its factorization.

10575486230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 10575486230400 in words is "ten trillion, five hundred seventy-five billion, four hundred eighty-six million, two hundred thirty thousand, four hundred".