20211009984 has 336 divisors, whose sum is σ = 66781338624. Its totient is φ = 5786726400.

The previous prime is 20211009979. The next prime is 20211010003. The reversal of 20211009984 is 48990011202.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8444692 + ... + 8447084.

It is an arithmetic number, because the mean of its divisors is an integer number (198753984).

Almost surely, 2^20211009984 is an apocalyptic number.

20211009984 is a gapful number since it is divisible by the number (24) 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 20211009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33390669312).

20211009984 is an abundant number, since it is smaller than the sum of its proper divisors (46570328640).

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

20211009984 is a wasteful number, since it uses less digits than its factorization.

20211009984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 20211009984 in words is "twenty billion, two hundred eleven million, nine thousand, nine hundred eighty-four".