1006805167392 has 96 divisors (see below), whose sum is σ = 2800081255104. Its totient is φ = 315662336000.

The previous prime is 1006805167387. The next prime is 1006805167393. The reversal of 1006805167392 is 2937615086001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1006805167393) 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, 2420167 + ... + 2805497.

It is an arithmetic number, because the mean of its divisors is an integer number (29167513074).

Almost surely, 2^{1006805167392} is an apocalyptic number.

1006805167392 is a gapful number since it is divisible by the number (12) 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 1006805167392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400040627552).

1006805167392 is an abundant number, since it is smaller than the sum of its proper divisors (1793276087712).

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

1006805167392 is a wasteful number, since it uses less digits than its factorization.

1006805167392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386962 (or 386954 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 1006805167392 in words is "one trillion, six billion, eight hundred five million, one hundred sixty-seven thousand, three hundred ninety-two".