1006210099620 has 288 divisors, whose sum is σ = 3363419928960. Its totient is φ = 241465466880.

The previous prime is 1006210099603. The next prime is 1006210099621. The reversal of 1006210099620 is 269900126001.

1006210099620 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 21 + 0 + 0 + 9 + 9 + 620 = 666.

1006210099620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (1006210099621) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97147482 + ... + 97157838.

It is an arithmetic number, because the mean of its divisors is an integer number (11678541420).

Almost surely, 2^{1006210099620} is an apocalyptic number.

1006210099620 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 1006210099620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681709964480).

1006210099620 is an abundant number, since it is smaller than the sum of its proper divisors (2357209829340).

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

1006210099620 is a wasteful number, since it uses less digits than its factorization.

1006210099620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10875 (or 10870 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 1006210099620 in words is "one trillion, six billion, two hundred ten million, ninety-nine thousand, six hundred twenty".