1066348025400 has 288 divisors, whose sum is σ = 3969429511680. Its totient is φ = 235874016000.

The previous prime is 1066348025287. The next prime is 1066348025423. The reversal of 1066348025400 is 45208436601.

1066348025400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1066348025400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 326395 + ... + 1496405.

It is an arithmetic number, because the mean of its divisors is an integer number (13782741360).

Almost surely, 2^{1066348025400} is an apocalyptic number.

1066348025400 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 1066348025400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984714755840).

1066348025400 is an abundant number, since it is smaller than the sum of its proper divisors (2903081486280).

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

1066348025400 is a wasteful number, since it uses less digits than its factorization.

1066348025400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170075 (or 1170059 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 1066348025400 in words is "one trillion, sixty-six billion, three hundred forty-eight million, twenty-five thousand, four hundred".