1000986521220 has 576 divisors, whose sum is σ = 3642762816000. Its totient is φ = 223516578816.

The previous prime is 1000986521209. The next prime is 1000986521251. The reversal of 1000986521220 is 221256890001.

1000986521220 is a `hidden beast` number, since 100 + 0 + 9 + 8 + 6 + 521 + 2 + 20 = 666.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 4371120066 + ... + 4371120294.

It is an arithmetic number, because the mean of its divisors is an integer number (6324241000).

Almost surely, 2^{1000986521220} is an apocalyptic number.

1000986521220 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 1000986521220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821381408000).

1000986521220 is an abundant number, since it is smaller than the sum of its proper divisors (2641776294780).

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

1000986521220 is a wasteful number, since it uses less digits than its factorization.

1000986521220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 1000986521220 in words is "one trillion, nine hundred eighty-six million, five hundred twenty-one thousand, two hundred twenty".