93139200000 has 1728 divisors, whose sum is σ = 437625115200. Its totient is φ = 19353600000.

The previous prime is 93139199963. The next prime is 93139200017. The reversal of 93139200000 is 293139.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8467199995 + ... + 8467200005.

It is an arithmetic number, because the mean of its divisors is an integer number (253255275).

Almost surely, 2^93139200000 is an apocalyptic number.

93139200000 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 93139200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218812557600).

93139200000 is an abundant number, since it is smaller than the sum of its proper divisors (344485915200).

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

93139200000 is an equidigital number, since it uses as much as digits as its factorization.

93139200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

Adding to 93139200000 its reverse (293139), we get a palindrome (93139493139).

The spelling of 93139200000 in words is "ninety-three billion, one hundred thirty-nine million, two hundred thousand".