1066015600000 has 768 divisors, whose sum is σ = 3132474508800. Its totient is φ = 357580800000.

The previous prime is 1066015599991. The next prime is 1066015600037. The reversal of 1066015600000 is 65106601.

1066015600000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1066015600000² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2740399806 + ... + 2740400194.

It is an arithmetic number, because the mean of its divisors is an integer number (4078742850).

Almost surely, 2^{1066015600000} is an apocalyptic number.

1066015600000 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 1066015600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566237254400).

1066015600000 is an abundant number, since it is smaller than the sum of its proper divisors (2066458908800).

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

1066015600000 is an equidigital number, since it uses as much as digits as its factorization.

1066015600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 457 counting only the distinct ones).

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

The spelling of 1066015600000 in words is "one trillion, sixty-six billion, fifteen million, six hundred thousand".