18954077760 has 336 divisors, whose sum is σ = 71172628800. Its totient is φ = 4788025344.

The previous prime is 18954077743. The next prime is 18954077783. The reversal of 18954077760 is 6777045981.

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

It is a junction number, because it is equal to n+sod(n) for n = 18954077697 and 18954077706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1471026 + ... + 1483854.

It is an arithmetic number, because the mean of its divisors is an integer number (211823300).

Almost surely, 2^18954077760 is an apocalyptic number.

18954077760 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 18954077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35586314400).

18954077760 is an abundant number, since it is smaller than the sum of its proper divisors (52218551040).

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

18954077760 is a wasteful number, since it uses less digits than its factorization.

18954077760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12880 (or 12858 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 18954077760 in words is "eighteen billion, nine hundred fifty-four million, seventy-seven thousand, seven hundred sixty".