1066005601000 has 64 divisors (see below), whose sum is σ = 2496062958480. Its totient is φ = 426127052800.

The previous prime is 1066005600973. The next prime is 1066005601009. The reversal of 1066005601000 is 1065006601.

1066005601000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 78275729284 + 987729871716 = 279778^2 + 993846^2 .

It is a super-2 number, since 2×1066005601000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1066005601009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1209792 + ... + 1896208.

Almost surely, 2^{1066005601000} is an apocalyptic number.

1066005601000 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 1066005601000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248031479240).

1066005601000 is an abundant number, since it is smaller than the sum of its proper divisors (1430057357480).

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

1066005601000 is a wasteful number, since it uses less digits than its factorization.

1066005601000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687991 (or 687977 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The spelling of 1066005601000 in words is "one trillion, sixty-six billion, five million, six hundred one thousand".