1059644640600 has 960 divisors, whose sum is σ = 4570406850240. Its totient is φ = 221560012800.

The previous prime is 1059644640589. The next prime is 1059644640601. The reversal of 1059644640600 is 60464469501.

It is a happy number.

1059644640600 is a `hidden beast` number, since 10 + 596 + 4 + 4 + 6 + 40 + 6 + 0 + 0 = 666.

It is a super-2 number, since 2×1059644640600² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1059644640601) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 166581420 + ... + 166587780.

It is an arithmetic number, because the mean of its divisors is an integer number (4760840469).

Almost surely, 2^{1059644640600} is an apocalyptic number.

1059644640600 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 1059644640600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285203425120).

1059644640600 is an abundant number, since it is smaller than the sum of its proper divisors (3510762209640).

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

1059644640600 is a wasteful number, since it uses less digits than its factorization.

1059644640600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6522 (or 6504 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1059644640600 in words is "one trillion, fifty-nine billion, six hundred forty-four million, six hundred forty thousand, six hundred".