1006205451372 has 216 divisors, whose sum is σ = 2837136848000. Its totient is φ = 300420679680.

The previous prime is 1006205451367. The next prime is 1006205451379. The reversal of 1006205451372 is 2731545026001.

1006205451372 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 20 + 54 + 513 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1006205451379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96754629 + ... + 96765027.

Almost surely, 2^{1006205451372} is an apocalyptic number.

1006205451372 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 1006205451372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418568424000).

1006205451372 is an abundant number, since it is smaller than the sum of its proper divisors (1830931396628).

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

1006205451372 is a wasteful number, since it uses less digits than its factorization.

1006205451372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10757 (or 10741 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 1006205451372 in words is "one trillion, six billion, two hundred five million, four hundred fifty-one thousand, three hundred seventy-two".