10540464360192 has 576 divisors, whose sum is σ = 34773430630400. Its totient is φ = 3167702028288.

The previous prime is 10540464360103. The next prime is 10540464360277. The reversal of 10540464360192 is 29106346404501.

10540464360192 is a `hidden beast` number, since 1 + 0 + 5 + 40 + 4 + 64 + 360 + 192 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×10540464360192² (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 63 ways as a sum of consecutive naturals, for example, 312951609 + ... + 312985287.

Almost surely, 2^{10540464360192} is an apocalyptic number.

10540464360192 is a gapful number since it is divisible by the number (12) 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 10540464360192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17386715315200).

10540464360192 is an abundant number, since it is smaller than the sum of its proper divisors (24232966270208).

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

10540464360192 is an frugal number, since it uses more digits than its factorization.

10540464360192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33772 (or 33740 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 10540464360192 in words is "ten trillion, five hundred forty billion, four hundred sixty-four million, three hundred sixty thousand, one hundred ninety-two".