10540368000 has 384 divisors, whose sum is σ = 39269543040. Its totient is φ = 2809728000.

The previous prime is 10540367983. The next prime is 10540368011. The reversal of 10540368000 is 86304501.

10540368000 is a `hidden beast` number, since 10 + 540 + 36 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10540368000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3886645 + ... + 3889355.

It is an arithmetic number, because the mean of its divisors is an integer number (102264435).

Almost surely, 2^10540368000 is an apocalyptic number.

10540368000 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 10540368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19634771520).

10540368000 is an abundant number, since it is smaller than the sum of its proper divisors (28729175040).

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

10540368000 is an frugal number, since it uses more digits than its factorization.

10540368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10540368000 in words is "ten billion, five hundred forty million, three hundred sixty-eight thousand".