538470979200 has 1536 divisors, whose sum is σ = 2542551552000. Its totient is φ = 107993088000.

The previous prime is 538470979187. The next prime is 538470979213. The reversal of 538470979200 is 2979074835.

It is an interprime number because it is at equal distance from previous prime (538470979187) and next prime (538470979213).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 192929805 + ... + 192932595.

It is an arithmetic number, because the mean of its divisors is an integer number (1655307000).

Almost surely, 2^538470979200 is an apocalyptic number.

538470979200 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 538470979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271275776000).

538470979200 is an abundant number, since it is smaller than the sum of its proper divisors (2004080572800).

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

538470979200 is a wasteful number, since it uses less digits than its factorization.

538470979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 538470979200 in words is "five hundred thirty-eight billion, four hundred seventy million, nine hundred seventy-nine thousand, two hundred".