18851299560 has 512 divisors, whose sum is σ = 68246323200. Its totient is φ = 4616663040.

The previous prime is 18851299549. The next prime is 18851299567. The reversal of 18851299560 is 6599215881.

18851299560 is a `hidden beast` number, since 1 + 8 + 8 + 51 + 29 + 9 + 560 = 666.

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 = 18851299497 and 18851299506.

It is not an unprimeable number, because it can be changed into a prime (18851299567) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 78221040 + ... + 78221280.

It is an arithmetic number, because the mean of its divisors is an integer number (133293600).

Almost surely, 2^18851299560 is an apocalyptic number.

18851299560 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 18851299560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34123161600).

18851299560 is an abundant number, since it is smaller than the sum of its proper divisors (49395023640).

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

18851299560 is a wasteful number, since it uses less digits than its factorization.

18851299560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 18851299560 in words is "eighteen billion, eight hundred fifty-one million, two hundred ninety-nine thousand, five hundred sixty".