538695085057920 has 1536 divisors, whose sum is σ = 2334193036185600. Its totient is φ = 116909786972160.

The previous prime is 538695085057903. The next prime is 538695085057937. The reversal of 538695085057920 is 29750580596835.

538695085057920 is a `hidden beast` number, since 5 + 3 + 8 + 6 + 95 + 0 + 8 + 505 + 7 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (538695085057903) and next prime (538695085057937).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 1390967347 + ... + 1391354573.

It is an arithmetic number, because the mean of its divisors is an integer number (1519656924600).

Almost surely, 2^{538695085057920} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538695085057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167096518092800).

538695085057920 is an abundant number, since it is smaller than the sum of its proper divisors (1795497951127680).

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

538695085057920 is a wasteful number, since it uses less digits than its factorization.

538695085057920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387353 (or 387328 counting only the distinct ones).

The product of its (nonzero) digits is 816480000, while the sum is 72.

The spelling of 538695085057920 in words is "five hundred thirty-eight trillion, six hundred ninety-five billion, eighty-five million, fifty-seven thousand, nine hundred twenty".