193139938080 has 288 divisors, whose sum is σ = 684541113984. Its totient is φ = 51425611776.

The previous prime is 193139938049. The next prime is 193139938213. The reversal of 193139938080 is 80839931391.

193139938080 is a `hidden beast` number, since 1 + 93 + 13 + 99 + 380 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 28262344 + ... + 28269176.

It is an arithmetic number, because the mean of its divisors is an integer number (2376878868).

Almost surely, 2^193139938080 is an apocalyptic number.

193139938080 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 193139938080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342270556992).

193139938080 is an abundant number, since it is smaller than the sum of its proper divisors (491401175904).

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

193139938080 is an equidigital number, since it uses as much as digits as its factorization.

193139938080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7590 (or 7570 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 193139938080 in words is "one hundred ninety-three billion, one hundred thirty-nine million, nine hundred thirty-eight thousand, eighty".