1006549951680 has 1792 divisors, whose sum is σ = 4592026091520. Its totient is φ = 201852518400.

The previous prime is 1006549951591. The next prime is 1006549951681. The reversal of 1006549951680 is 861599456001.

1006549951680 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 5 + 49 + 9 + 516 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1006549951681) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1486779502 + ... + 1486780178.

It is an arithmetic number, because the mean of its divisors is an integer number (2562514560).

Almost surely, 2^{1006549951680} is an apocalyptic number.

1006549951680 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 1006549951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296013045760).

1006549951680 is an abundant number, since it is smaller than the sum of its proper divisors (3585476139840).

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

1006549951680 is a wasteful number, since it uses less digits than its factorization.

1006549951680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 1006549951680 in words is "one trillion, six billion, five hundred forty-nine million, nine hundred fifty-one thousand, six hundred eighty".