1006219972800 has 1680 divisors, whose sum is σ = 4485901201408. Its totient is φ = 216334540800.

The previous prime is 1006219972759. The next prime is 1006219972811. The reversal of 1006219972800 is 82799126001.

1006219972800 is a `hidden beast` number, since 10 + 0 + 621 + 9 + 9 + 7 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1040557917 + ... + 1040558883.

Almost surely, 2^{1006219972800} is an apocalyptic number.

1006219972800 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 1006219972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242950600704).

1006219972800 is an abundant number, since it is smaller than the sum of its proper divisors (3479681228608).

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

1006219972800 is a wasteful number, since it uses less digits than its factorization.

1006219972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 1006219972800 in words is "one trillion, six billion, two hundred nineteen million, nine hundred seventy-two thousand, eight hundred".