10218977784 has 192 divisors, whose sum is σ = 29652480000. Its totient is φ = 3170119680.

The previous prime is 10218977777. The next prime is 10218977837. The reversal of 10218977784 is 48777981201.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10218977784.

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, 22759192 + ... + 22759640.

It is an arithmetic number, because the mean of its divisors is an integer number (154440000).

Almost surely, 2^10218977784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10218977784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14826240000).

10218977784 is an abundant number, since it is smaller than the sum of its proper divisors (19433502216).

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

10218977784 is a wasteful number, since it uses less digits than its factorization.

10218977784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The spelling of 10218977784 in words is "ten billion, two hundred eighteen million, nine hundred seventy-seven thousand, seven hundred eighty-four".