93198282240 has 480 divisors, whose sum is σ = 348432948864. Its totient is φ = 21189181440.

The previous prime is 93198282187. The next prime is 93198282263. The reversal of 93198282240 is 4228289139.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 93198282240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85424095 + ... + 85425185.

Almost surely, 2^93198282240 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 93198282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174216474432).

93198282240 is an abundant number, since it is smaller than the sum of its proper divisors (255234666624).

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

93198282240 is a wasteful number, since it uses less digits than its factorization.

93198282240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 93198282240 in words is "ninety-three billion, one hundred ninety-eight million, two hundred eighty-two thousand, two hundred forty".