193740057090 has 128 divisors (see below), whose sum is σ = 544082227200. Its totient is φ = 48922315200.

The previous prime is 193740057053. The next prime is 193740057097. The reversal of 193740057090 is 90750047391.

193740057090 is a `hidden beast` number, since 1 + 9 + 3 + 74 + 0 + 0 + 570 + 9 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (193740057097) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13038165 + ... + 13053015.

It is an arithmetic number, because the mean of its divisors is an integer number (4250642400).

Almost surely, 2^193740057090 is an apocalyptic number.

193740057090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 193740057090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272041113600).

193740057090 is an abundant number, since it is smaller than the sum of its proper divisors (350342170110).

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

193740057090 is a wasteful number, since it uses less digits than its factorization.

193740057090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17429 (or 17423 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 193740057090 in words is "one hundred ninety-three billion, seven hundred forty million, fifty-seven thousand, ninety".