18628126380 has 216 divisors, whose sum is σ = 60545747808. Its totient is φ = 4619943936.

The previous prime is 18628126343. The next prime is 18628126411. The reversal of 18628126380 is 8362182681.

18628126380 is a `hidden beast` number, since 1 + 8 + 6 + 2 + 8 + 1 + 2 + 638 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28791217 + ... + 28791863.

It is an arithmetic number, because the mean of its divisors is an integer number (280304388).

Almost surely, 2^18628126380 is an apocalyptic number.

18628126380 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 18628126380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30272873904).

18628126380 is an abundant number, since it is smaller than the sum of its proper divisors (41917621428).

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

18628126380 is a wasteful number, since it uses less digits than its factorization.

18628126380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 18628126380 in words is "eighteen billion, six hundred twenty-eight million, one hundred twenty-six thousand, three hundred eighty".