10216778880 has 512 divisors, whose sum is σ = 42019430400. Its totient is φ = 2048901120.

The previous prime is 10216778833. The next prime is 10216778893. The reversal of 10216778880 is 8887761201.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4286169 + ... + 4288551.

It is an arithmetic number, because the mean of its divisors is an integer number (82069200).

Almost surely, 2^10216778880 is an apocalyptic number.

10216778880 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 10216778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21009715200).

10216778880 is an abundant number, since it is smaller than the sum of its proper divisors (31802651520).

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

10216778880 is a wasteful number, since it uses less digits than its factorization.

10216778880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 48.

The spelling of 10216778880 in words is "ten billion, two hundred sixteen million, seven hundred seventy-eight thousand, eight hundred eighty".