193253168640 has 640 divisors, whose sum is σ = 747204175872. Its totient is φ = 41653370880.

The previous prime is 193253168623. The next prime is 193253168683. The reversal of 193253168640 is 46861352391.

It is a tau number, because it is divible by the number of its divisors (640).

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 193253168640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90261970 + ... + 90264110.

Almost surely, 2^193253168640 is an apocalyptic number.

193253168640 is a gapful number since it is divisible by the number (10) 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 193253168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373602087936).

193253168640 is an abundant number, since it is smaller than the sum of its proper divisors (553951007232).

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

193253168640 is a wasteful number, since it uses less digits than its factorization.

193253168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 193253168640 in words is "one hundred ninety-three billion, two hundred fifty-three million, one hundred sixty-eight thousand, six hundred forty".