10554640851104 has 288 divisors, whose sum is σ = 25928835609600. Its totient is φ = 4204345098240.

The previous prime is 10554640851037. The next prime is 10554640851133. The reversal of 10554640851104 is 40115804645501.

It is a happy number.

It is a super-2 number, since 2×10554640851104² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 415377152 + ... + 415402560.

It is an arithmetic number, because the mean of its divisors is an integer number (90030679200).

Almost surely, 2^{10554640851104} is an apocalyptic number.

10554640851104 is a gapful number since it is divisible by the number (14) 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 10554640851104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12964417804800).

10554640851104 is an abundant number, since it is smaller than the sum of its proper divisors (15374194758496).

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

10554640851104 is a wasteful number, since it uses less digits than its factorization.

10554640851104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25716 (or 25701 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 44.

The spelling of 10554640851104 in words is "ten trillion, five hundred fifty-four billion, six hundred forty million, eight hundred fifty-one thousand, one hundred four".