18078577920 has 864 divisors, whose sum is σ = 74246844672. Its totient is φ = 4172414976.

The previous prime is 18078577901. The next prime is 18078577927. The reversal of 18078577920 is 2977587081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18078577927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68739709 + ... + 68739971.

It is an arithmetic number, because the mean of its divisors is an integer number (85933848).

Almost surely, 2^18078577920 is an apocalyptic number.

18078577920 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 18078577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37123422336).

18078577920 is an abundant number, since it is smaller than the sum of its proper divisors (56168266752).

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

18078577920 is a wasteful number, since it uses less digits than its factorization.

18078577920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 54.

The spelling of 18078577920 in words is "eighteen billion, seventy-eight million, five hundred seventy-seven thousand, nine hundred twenty".