93138534216000 has 2688 divisors, whose sum is σ = 418709407334400. Its totient is φ = 19239480115200.

The previous prime is 93138534215999. The next prime is 93138534216061. The reversal of 93138534216000 is 61243583139.

93138534216000 is a `hidden beast` number, since 9 + 3 + 1 + 3 + 8 + 5 + 34 + 2 + 1 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 185166071749 + ... + 185166072251.

It is an arithmetic number, because the mean of its divisors is an integer number (155769868800).

Almost surely, 2^{93138534216000} is an apocalyptic number.

93138534216000 is a gapful number since it is divisible by the number (90) 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 93138534216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209354703667200).

93138534216000 is an abundant number, since it is smaller than the sum of its proper divisors (325570873118400).

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

93138534216000 is a wasteful number, since it uses less digits than its factorization.

93138534216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

Adding to 93138534216000 its reverse (61243583139), we get a palindrome (93199777799139).

The spelling of 93138534216000 in words is "ninety-three trillion, one hundred thirty-eight billion, five hundred thirty-four million, two hundred sixteen thousand".