18878045760 has 1344 divisors, whose sum is σ = 85311325440. Its totient is φ = 3901685760.

The previous prime is 18878045729. The next prime is 18878045873. The reversal of 18878045760 is 6754087881.

It is a happy number.

18878045760 is a `hidden beast` number, since 188 + 7 + 8 + 0 + 457 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×18878045760² (a number of 21 digits) contains 22 as substring.

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 = 18878045697 and 18878045706.

It is a congruent number.

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, 309476130 + ... + 309476190.

Almost surely, 2^18878045760 is an apocalyptic number.

18878045760 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 18878045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42655662720).

18878045760 is an abundant number, since it is smaller than the sum of its proper divisors (66433279680).

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

18878045760 is a wasteful number, since it uses less digits than its factorization.

18878045760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 18878045760 in words is "eighteen billion, eight hundred seventy-eight million, forty-five thousand, seven hundred sixty".