18862880400 has 960 divisors, whose sum is σ = 87569395200. Its totient is φ = 3742433280.

The previous prime is 18862880381. The next prime is 18862880419. The reversal of 18862880400 is 408826881.

It is a happy number.

18862880400 is a `hidden beast` number, since 18 + 8 + 628 + 8 + 0 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18862880381) and next prime (18862880419).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16707036 + ... + 16708164.

It is an arithmetic number, because the mean of its divisors is an integer number (91218120).

Almost surely, 2^18862880400 is an apocalyptic number.

18862880400 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 18862880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43784697600).

18862880400 is an abundant number, since it is smaller than the sum of its proper divisors (68706514800).

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

18862880400 is a wasteful number, since it uses less digits than its factorization.

18862880400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 18862880400 in words is "eighteen billion, eight hundred sixty-two million, eight hundred eighty thousand, four hundred".