202116777984 has 672 divisors, whose sum is σ = 684050814720. Its totient is φ = 59122483200.

The previous prime is 202116777911. The next prime is 202116777991. The reversal of 202116777984 is 489777611202.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 202116777984.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 509110074 + ... + 509110470.

It is an arithmetic number, because the mean of its divisors is an integer number (1017932760).

Almost surely, 2^202116777984 is an apocalyptic number.

202116777984 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 202116777984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342025407360).

202116777984 is an abundant number, since it is smaller than the sum of its proper divisors (481934036736).

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

202116777984 is an equidigital number, since it uses as much as digits as its factorization.

202116777984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

It can be divided in two parts, 202116 and 777984, that added together give a square (980100 = 990²).

The spelling of 202116777984 in words is "two hundred two billion, one hundred sixteen million, seven hundred seventy-seven thousand, nine hundred eighty-four".