1006356651160 has 96 divisors (see below), whose sum is σ = 2638429342560. Its totient is φ = 344454319104.

The previous prime is 1006356651151. The next prime is 1006356651191. The reversal of 1006356651160 is 611566536001.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 729357 + ... + 1595203.

It is an arithmetic number, because the mean of its divisors is an integer number (27483638985).

Almost surely, 2^{1006356651160} is an apocalyptic number.

1006356651160 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 1006356651160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319214671280).

1006356651160 is an abundant number, since it is smaller than the sum of its proper divisors (1632072691400).

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

1006356651160 is a wasteful number, since it uses less digits than its factorization.

1006356651160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866465 (or 866454 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The spelling of 1006356651160 in words is "one trillion, six billion, three hundred fifty-six million, six hundred fifty-one thousand, one hundred sixty".