10540852051968 has 972 divisors, whose sum is σ = 37688766773112. Its totient is φ = 2830022737920.

The previous prime is 10540852051921. The next prime is 10540852051987. The reversal of 10540852051968 is 86915025804501.

10540852051968 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 0 + 8 + 520 + 51 + 9 + 68 = 666.

It is a super-2 number, since 2×10540852051968² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 16704995013 + ... + 16704995643.

Almost surely, 2^{10540852051968} is an apocalyptic number.

10540852051968 is a gapful number since it is divisible by the number (18) 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 10540852051968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18844383386556).

10540852051968 is an abundant number, since it is smaller than the sum of its proper divisors (27147914721144).

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

10540852051968 is an frugal number, since it uses more digits than its factorization.

10540852051968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 10540852051968 in words is "ten trillion, five hundred forty billion, eight hundred fifty-two million, fifty-one thousand, nine hundred sixty-eight".