538671513600 has 1428 divisors, whose sum is σ = 2238303661272. Its totient is φ = 127401984000.

The previous prime is 538671513553. The next prime is 538671513631. The reversal of 538671513600 is 6315176835.

538671513600 is a `hidden beast` number, since 5 + 3 + 8 + 6 + 71 + 513 + 60 + 0 = 666.

It is a super-3 number, since 3×538671513600³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 83 ways as a sum of consecutive naturals, for example, 13138329580 + ... + 13138329620.

Almost surely, 2^538671513600 is an apocalyptic number.

538671513600 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 538671513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119151830636).

538671513600 is an abundant number, since it is smaller than the sum of its proper divisors (1699632147672).

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

538671513600 is an frugal number, since it uses more digits than its factorization.

538671513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 538671513600 in words is "five hundred thirty-eight billion, six hundred seventy-one million, five hundred thirteen thousand, six hundred".