10605559910400 has 1560 divisors, whose sum is σ = 48354862632384. Its totient is φ = 2237497344000.

The previous prime is 10605559910359. The next prime is 10605559910431. The reversal of 10605559910400 is 401995550601.

It is a happy number.

10605559910400 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 5 + 5 + 599 + 10 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1560).

It is a super-2 number, since 2×10605559910400² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 754783375 + ... + 754797425.

Almost surely, 2^{10605559910400} is an apocalyptic number.

10605559910400 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 10605559910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24177431316192).

10605559910400 is an abundant number, since it is smaller than the sum of its proper divisors (37749302721984).

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

10605559910400 is a wasteful number, since it uses less digits than its factorization.

10605559910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14117 (or 14081 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 45.

The spelling of 10605559910400 in words is "ten trillion, six hundred five billion, five hundred fifty-nine million, nine hundred ten thousand, four hundred".