10411199568000 has 5760 divisors, whose sum is σ = 54048635372160. Its totient is φ = 1928945664000.

The previous prime is 10411199567957. The next prime is 10411199568023. The reversal of 10411199568000 is 86599111401.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 719 ways as a sum of consecutive naturals, for example, 547957871991 + ... + 547957872009.

It is an arithmetic number, because the mean of its divisors is an integer number (9383443641).

Almost surely, 2^{10411199568000} is an apocalyptic number.

10411199568000 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 10411199568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27024317686080).

10411199568000 is an abundant number, since it is smaller than the sum of its proper divisors (43637435804160).

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

10411199568000 is a wasteful number, since it uses less digits than its factorization.

10411199568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 10411199568000 in words is "ten trillion, four hundred eleven billion, one hundred ninety-nine million, five hundred sixty-eight thousand".