18277754880 has 384 divisors, whose sum is σ = 72912752640. Its totient is φ = 3797483520.

The previous prime is 18277754863. The next prime is 18277754909. The reversal of 18277754880 is 8845777281.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 18277754880.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2361577 + ... + 2369303.

It is an arithmetic number, because the mean of its divisors is an integer number (189876960).

Almost surely, 2^18277754880 is an apocalyptic number.

18277754880 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 18277754880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36456376320).

18277754880 is an abundant number, since it is smaller than the sum of its proper divisors (54634997760).

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

18277754880 is a wasteful number, since it uses less digits than its factorization.

18277754880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7775 (or 7755 counting only the distinct ones).

The product of its (nonzero) digits is 7024640, while the sum is 57.

It can be divided in two parts, 1827775 and 4880, that added together give a triangular number (1832655 = T₁₉₁₄).

The spelling of 18277754880 in words is "eighteen billion, two hundred seventy-seven million, seven hundred fifty-four thousand, eight hundred eighty".