538019945100 has 864 divisors, whose sum is σ = 1998752071680. Its totient is φ = 119750400000.

The previous prime is 538019945087. The next prime is 538019945101. The reversal of 538019945100 is 1549910835.

538019945100 is a `hidden beast` number, since 5 + 3 + 8 + 0 + 199 + 451 + 0 + 0 = 666.

It is a super-2 number, since 2×538019945100² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (538019945101) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 542905605 + ... + 542906595.

Almost surely, 2^538019945100 is an apocalyptic number.

538019945100 is a gapful number since it is divisible by the number (50) 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 538019945100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999376035840).

538019945100 is an abundant number, since it is smaller than the sum of its proper divisors (1460732126580).

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

538019945100 is a wasteful number, since it uses less digits than its factorization.

538019945100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 538019945100 in words is "five hundred thirty-eight billion, nineteen million, nine hundred forty-five thousand, one hundred".